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Through isothermal hot compression experiments at various strain rates and temperatures, the thermal deformation behavior of Zn-2.0Cu-0.15Ti alloy is investigated. The Arrhenius-type model is utilized to forecast flow stress behavior. Results show that the Arrhenius-type model accurately reflects the flow behavior in the entire processing region. The dynamic material model (DMM) reveals that the optimal processing region for the hot processing of Zn-2.0Cu-0.15Ti alloy has a maximum efficiency of about 35%, in the temperatures range (493–543 K) and a strain rate range (0.01–0.1 s−1). Microstructure analysis demonstrates that the primary dynamic softening mechanism of Zn-2.0Cu-0.15Ti alloy after hot compression is significantly influenced by temperature and strain rate. At low temperature (423 K) and low strain rate (0.1 s−1), the interaction of dislocations is the primary mechanism for the softening Zn-2.0Cu-0.15Ti alloys. At a strain rate of 1 s−1, the primary mechanism changes to continuous dynamic recrystallization (CDRX). Discontinuous dynamic recrystallization (DDRX) occurs when Zn-2.0Cu-0.15Ti alloy is deformed under the conditions of 523 K/0.1 s−1, while twinning dynamic recrystallization (TDRX) and CDRX are observed when the strain rate is 10 s−1.

Anemia has been a public health issue evoking global concern, and the low hemoglobin (Hb) concentration links to adverse pregnancy outcomes. However, the associations of PM2.5 and its constituents with Hb and anemia in pregnant women remain unclear. In this retrospective birth cohort study, 7932 pregnant women who delivered in the First Affiliated Hospital of Xi’an Jiaotong University from 2015 to 2018 were included. The Hb during the third trimester in pregnant women was assessed before delivery. PM2.5 and its constituents (BC, NH4+, NO3−, OM, SO42−, and Dust) during pregnancy were retrieved from the V4.CH.03 product constructed by the Atmospheric Composition Analysis Group. Generalized linear regression model was applied to investigate the effects of PM2.5 and its constituents on Hb and anemia during the third trimester in pregnant women. The means and standard deviations of PM2.5, BC, NH4+, NO3−, OM, SO42−, and Dust were 69.56 (15.24), 10.02 (2.72), 8.11 (1.77), 14.96 (5.42), 15.36 (4.11), 10.08 (1.20), and 10.98 (1.85) μg/m3, respectively. Per IQR increase (μg/m3) of PM2.5, BC, NO3−, and OM linked to − 0.75 (− 1.50, − 0.01), − 0.85 (− 1.65, − 0.04), − 0.79 (− 1.56, − 0.03), and − 0.73 (− 1.44, − 0.03) g/L decrease of Hb during the third trimester in multiparous pregnant women, but not for NH4+, SO42−, Dust, and primiparous pregnant women. PM2.5 and its constituents had no significant association with anemia, except for Dust (OR: 0.90, 95% CI: 0.82, 0.99, per IQR increase) in primiparous pregnant women. Besides, SO42− was of lag effects on Hb and anemia in multiparous pregnant women. Moreover, non-linear associations were found among PM2.5 and its constituents, Hb, and anemia. Therefore, exposure to PM2.5 and some constituents of PM2.5 was associated with reduced Hb level during the third trimester in multiparous pregnant women. Related departments and pregnant women should take targeted actions to eliminate the detrimental effects of PM2.5 and its constituents on pregnancy outcomes.

Discrete element method (DEM) simulations of size-driven segregation of binary particles in a rotary drum were conducted to investigate the influence of filling level, size ratio, and rotation speed on the segregation performance. Segregation experiments with different filling levels were used to verify the DEM model and analyze the influence of filling levels on segregation. The granular bed was divided into five layers to study the axial segregation in the rotary drum. The total velocity fluctuation was used to discuss the granular behavior from a mesoscopic perspective. A segregation index was adopted to quantify the segregation performance with different parameters. It was found that binary particles in the drum with different filling levels have different segregation patterns. A core of small particles was formed in the middle of granular bed for the case with a higher filling level, while there is no core formed for the case with a lower filling level. Results obtained indicate that the size-driven segregation in the drum with lower filling level increases with the increase of size ratio. Within the rolling regime, the rotation speed has little influence on the final segregation index of particles.

BackgroundBecause there is no exact therapeutic target, the systemic treatment of triple-negative breast cancer (TNBC) still relies on chemotherapy. In terms of local treatment, based on the highly malignant characteristics of TNBC, it is still uncertain whether patients should be given more aggressive local treatment.MethodsThis study was based on the SEER database. 13,262 TNBC patients undergoing chemotherapy were included. According to local treatment methods, patients were divided into breast-conserving surgery with radiotherapy (BCS + RT), total mastectomy alone and total mastectomy with radiotherapy (Mastectomy+RT). Kaplan-Meier survival analysis drew the survival curves of Overall Survival (OS) and Breast Cancer Specific Survival (BCSS), and Cox proportional risk regression models were used to analyze the impact of different local treatments on OS and BCSS.ResultsAfter adjusting confounding factors, Mastectomy alone group (HR = 1.57; 95%CI: 1.40–1.77) and Mastectomy+RT group (HR = 1.28; 95%CI: 1.12–1.46) were worse in OS than BCS + RT group, and Mastectomy+RT group (HR = 0.81; 95%CI: 0.73–0.91) was better in OS than Mastectomy alone group. The effect of local treatment for BCSS was similar to that of OS. After stratification according to age, tumor size and lymph node status, when the age was less than 55 years old, at T4, N2 or N3 category, there was no statistical significance between the BCS + RT group and the Mastectomy+RT group in OS or BCSS (allP > 0.05). When the age was less than 65 years old, at T1, T2 or N0 category, there was no statistical significance between the Mastectomy alone group and the Mastectomy+RT group in OS or BCSS (allP > 0.05). The results of other stratified analyses were basically consistent with the results of total population analysis.ConclusionThe survival benefit of breast-conserving surgery with radiotherapy was higher than or similar to that of total mastectomy TNBC patients.

Discrete element method (DEM) simulations of binary mixing of particles with different densities were conducted to study the influence of density ratio, blade speed, and filling level on the particle dynamics and mixing performance in a bladed mixer. Four particles with different densities at different locations were tagged to discuss the influence of three factors on the particle trajectory and velocity field in the mixer. A method based on cubic polynomial fitting of relative standard deviation was used to determine the critical revolution during the mixing process. It was found that the non-dimensional tangential velocity decreases with the increase of the blade speed and filling level, the fluctuation of vertical velocity increases with the radial location, blade speed, and filling level, and it is more pronounced than the fluctuation of tangential and radial velocity during the mixing process. Results obtained indicate that the mixing performance of particles with different density increases with the decrease of density ratio and filling level, while it increases with the increase of blade speed.

Discrete element method (DEM) has been used to study the effect of process parameters, filling ratio, impeller speed, and vessel speed, on granular mixing performance in an intensive mixer. Their effects were evaluated in terms of coordination number (CN), relative standard deviation at a specified time (RSDT) and relative standard deviation at a specified input work (RSDIW). Analysis of variance (ANOVA) and response surface method (RSM) were employed to study the significance analysis of the individual factor effects and factor combination. The results of experiments indicate that CN and RSDT increase with the increase of filling rate and the decrease of impeller speed, and RSDIW increases with the increase of filling rate, while the influence of vessel speed and impeller speed on RSDIW is dependent on the other two parameters of mixer. Additionally, filling rate, impeller speed and vessel speed showed interactive effects on all presented responses.

DEM simulations of binary mixing of particles with different densities were conducted to study the influence of density ratio, impeller speed, and vessel speed on the particle dynamics and mixing performance in an intensive mixer. Six particles at different locations were tagged to discuss the influence of three factors on the particle trajectory and residence time in the impeller influence area. Velocity profile at a fixed point was analyzed to explore the local phenomena. Mean velocity fluctuation, coordination number and relative standard deviation (RSD) were used to quantify the mixing performance in the mixing process. It was found that the residence time increases with the increase of particle density, and the mean velocity fluctuation increases with the increase of impeller speed. The trajectory radius in impeller influence area and the vertical movement increase with the increase of impeller speed. Results obtained indicate that the mixing performance of binary particles with different density increases with the increase of impeller speed and vessel speed, while it decreases with the increase of density ratio.

Discrete element method (DEM) simulations of particle mixing process in an intensive mixer were conducted to study the influence of structural and process parameters on the mixing performance and power consumption. The DEM model was verified by comparing the impeller torque obtained from simulation with that from experiment. Impeller and vessel torque, coordination number (CN) and mixing index (Relative standard deviation) were adopted to qualify the particle dynamics and mixing performance with different parameters. A method based on cubic polynomial fitting was proposed to determine the critical mixing time and critical specific input work during the mixing process. It is found that the mixing performance and energy efficiency increases with the decrease of impeller offset. The mixing performance is improved slightly with the increase of blade number and the impeller with 3 blades has the highest energy efficiency due to its low input torque. Results indicate that the energy efficiency and the mixing performance increase with the decrease of filling level when the height of granular bed is higher than that of blade.

Aim: To develop and internally validate nomograms to predict the overall survival (OS) and the cancer-specific survival (CSS) of patients with epithelial ovarian cancer (EOC). Methods: A total of 9001 EOC patients diagnosed between 2010 and 2013 were randomly divided into the training (n = 6301) and validation (n = 2700) cohorts. Nomogram and bootstrap validation were used to assess the predictive values of the models, including discrimination, calibration and clinical benefit. Results: In the validation cohort, the concordance statistic values were 0.733 for OS and 0.747 for CSS. Calibration plots and decision curve analyses demonstrated moderate accuracy and clinical applicability. Conclusion: Nomograms were user-friendly tools for guiding clinical treatment and estimating prognosis.

Anemia has been a public health issue evoking global concern, and the low hemoglobin (Hb) concentration links to adverse pregnancy outcomes. However, the associations of PM

Simulations of wet particle flow in an intensive mixer were conducted based on three-dimensional discrete element methods (DEM). Mikami capillary force model was introduced to mimic the complex effects of pendular liquid bridges in the granular flow. Lacey mixing index was adopted to evaluate the dynamic process of particle system. Experiments of intensive mixer tester were carried out for validating the simulation model during the mixing process. It was found that the blade torque increases with higher liquid fraction due to the damping action of capillary forces. Bigger particle size, high blade, and vessel speed can also increase the blade toque as the pronounced velocity fluctuation. Our results indicate the contact number decreases with higher blade speed and vessel speed, while it is little affected by the liquid fraction. The analysis of mixing quality shows that high homogeneity of particles distribution is obtained with higher blade speed and small particle size, while liquid fraction and vessel speed have little influence during the dynamic equilibrium stage.

Low birth weight has long-term health effects, including neurodevelopmental delays, cardiovascular diseases, and type 2 diabetes, through epigenetic changes and modifications. Numerous studies have identified that PMA total of 8969 singleton live births born in 2015-2019 were included in this study. The inverse distance weighting method was applied to interpolate and calculate the average exposure to PMPer 10 μg/mPrenatal PM

More and more studies began to explore the hazardous health effects of PMIn this meta-analysis, we searched PubMed, Web of Science, Embase, and Cochrane Central Register of Controlled Trials (CENTRAL) databases for related articles written in English and published before October 18, 2020. Study selection was conducted according to the predetermined criteria and data attraction was done with predesigned form. A new instrument was applied to conduct the risk of bias assessment. And random-effect models were used to pool the estimates.A total of 3655 records were identified from the databases, but only 7 studies were ultimately included in this study. Positive association was found between the maternal exposure to PMMaternal exposure to PM

Background Cervical cancer has long been a common malignance troubling women. However, there are few studies developing nomogram with comprehensive factors for the prognosis of cervical cancer. Hence, we aimed to build a nomogram to calculate the overall survival (OS) probability in patients with cervical cancer. Methods Data of 9876 female patients in SEER database and diagnosed as cervical cancer during 2010–2015, was retrospectively analyzed. Univariate and multivariate Cox proportional hazard regression model were applied to select predicted factors and a nomogram was developed to visualize the prediction model. The nomogram was compared with the FIGO stage prediction model. Harrell’s C-index, receiver operating curve, calibration plot and decision curve analysis were used to assess the discrimination, accuracy, calibration and clinical utility of the prediction models. Result Eleven independent prognostic variables, including age at diagnosis, race, marital status at diagnosis, grade, histology, tumor size, FIGO stage, primary site surgery, regional lymph node surgery, radiotherapy and chemotherapy, were used to build the nomogram. The C-index of the nomogram was 0.826 (95% CI: 0.818 to 0.834), which was better than that of the FIGO stage prediction model (C-index: 0.785, 95% CI: 0.776 to 0.793). Calibration plot of the nomogram was well fitted in 3-year overall OS prediction, but overfitting in 5-year OS prediction. The net benefit of the nomogram was higher than the FIGO prediction model. Conclusion A clinical useful nomogram for calculating the overall survival probability in cervical cancer patients was developed. It performed better than the FIGO stage prediction model and could help clinicians to choose optimal treatments and precisely predict prognosis in clinical care and research.

Previous studies have suggested that maternal exposure to air pollution might affect term birth weight. However, the conclusions are controversial. Birth data of all term newborns born in Xi’an city of Shaanxi, China, from 2015 to 2018 and whose mother lived in Xi’an during pregnancy were selected form the Birth Registry Database. And the daily air quality data of Xi’an city was collected from Chinese Air Quality Online Monitoring and Analysis Platform. Generalized additive models (GAM) and 2-level binary logistic regression models were used to estimate the effects of air pollution exposure on term birth weight, the risk term low birth weight (TLBW), and macrosomia. Finally, 321521 term newborns were selected, including 4369(1.36%) TLBW infants and 24,960 (7.76%) macrosomia. The average pollution levels of PM2.5, PM10, and NO2 in Xi’an city from 2015 to 2018 were higher than national limits. During the whole pregnancy, maternal exposure to PM2.5, PM10, SO2, and CO all significantly reduced the term birth weight and increased the risk of TLBW. However, NO2 and O3 exposure have significantly increased the term birth weight, and O3 even increased the risk of macrosomia significantly. Those effects were also observed in the first and second trimesters of pregnancy. But during the third trimester, high level of air quality index (AQI) and maternal exposure to PM2.5, PM10, SO2, NO2, and CO increased the term birth weight and the risk of macrosomia, while O3 exposure was contrary to this effect. The findings suggested that prenatal exposure to air pollution might cause adverse impacts on term birth weight, and the effects varied with trimesters and pollutants, which provides further pieces of evidence for the adverse effects of air pollution exposure in heavy polluted-area on term birth weight.

Background Most studies have shown that maternal age is associated with birth weight. However, the specific relationship between each additional year of maternal age and birth weight remains unclear. The study aimed to analyze the specific association between maternal age and birth weight. Methods Raw data for all live births from 2015 to 2018 were obtained from the Medical Birth Registry of Xi’an, China. A total of 490,143 mother-child pairs with full-term singleton live births and the maternal age ranging from 20 to 40 years old were included in our study. Birth weight, gestational age, neonatal birth date, maternal birth date, residence and ethnicity were collected. Generalized additive model and two-piece wise linear regression model were used to analyze the specific relationships between maternal age and birth weight, risk of low birth weight, and risk of macrosomia. Results The relationships between maternal age and birth weight, risk of low birth weight, and risk of macrosomia were nonlinear. Birth weight increased 16.204 g per year when maternal age was less than 24 years old (95%CI: 14.323, 18.086), and increased 12.051 g per year when maternal age ranged from 24 to 34 years old (95%CI: 11.609, 12.493), then decreased 0.824 g per year (95% CI: -3.112, 1.464). The risk of low birth weight decreased with the increase of maternal age until 36 years old (OR = 0.917, 95%CI: 0.903, 0.932 when maternal age was younger than 27 years old; OR = 0.965, 95%CI: 0.955, 0.976 when maternal age ranged from 27 to 36 years old), then increased when maternal age was older than 36 years old (OR = 1.133, 95%CI: 1.026, 1.250). The risk of macrosomia increased with the increase of maternal age (OR = 1.102, 95%CI: 1.075, 1.129 when maternal age was younger than 24 years old; OR = 1.065, 95%CI: 1.060, 1.071 when maternal age ranged from 24 to 33 years old; OR = 1.029, 95%CI: 1.012, 1.046 when maternal age was older than 33 years old). Conclusions For women of childbearing age (20–40 years old), the threshold of maternal age on low birth weight was 36 years old, and the risk of macrosomia increased with the increase of maternal age.

A novel topology optimization method is proposed based on particle moving, in which the topological optimization results can be obtained by moving particle instead of “soft delete” or “hard delete”. The relation between particle coordination and its density is built. The moving of particles can be controlled according to its density value, that is, with the particle density values change in the optimal iteration, the particle will be moved from a location to the other one in accordance with given step. The density gradient is derived. As the compliance, the particle density is chosen as the objective function and the design variables, respectively, the topology optimization model of particle moving based on EFGM is built by using the SIMP material model, and calculating flow chart is given. Combined OC method, the two topology optimization examples are achieved. The results obtained verify that the presented optimal method is feasible.

Biosynthesis of plant seed oil is accomplished through the coordinate action of multiple enzymes in multiple subcellular compartments. Fatty acid (FA) has to be transported from plastid to endoplasmic reticulum (ER) for TAG synthesis. However, the role of plastid FA transportation during seed oil accumulation has not been evaluated. AtFAX1 (Arabidopsis fatty acid export1) mediated the FA export from plastid. In this study, we overexpressed AtFAX1 under the control of a seed specific promoter in Arabidopsis. The resultant overexpression lines (OEs) produced seeds which contained 21-33% more oil and 24-30% more protein per seed than those of the wild type (WT). The increased oil content was probably because of the enhanced FA and TAG synthetic activity. The seed size and weight were both increased accordingly. In addition, the seed number per silique and silique number per plant had no changes in transgenic plants. Taken together, our results demonstrated that seed specific overexpression of AtFAX1 could promote oil accumulation in Arabidopsis seeds and manipulating FA transportation is a feasible strategy for increasing the seed oil content.

Background More and more studies began to explore the hazardous health effects of PM2.5, but few reported its impacts on stillbirth. The sparse results were inconsistent and remained to be integrated. Therefore, we aimed to reveal the association between maternal exposure to PM2.5 and stillbirth. Methods In this meta-analysis, we searched PubMed, Web of Science, Embase, and Cochrane Central Register of Controlled Trials (CENTRAL) databases for related articles written in English and published before October 18, 2020. Study selection was conducted according to the predetermined criteria and data attraction was done with predesigned form. A new instrument was applied to conduct the risk of bias assessment. And random-effect models were used to pool the estimates. Results A total of 3655 records were identified from the databases, but only 7 studies were ultimately included in this study. Positive association was found between the maternal exposure to PM2.5 (per 10 μg/m3 increased) in the entire pregnancy (OR: 1.15, 95% CI: 1.07–1.25) and third trimester (OR: 1.09, 95% CI: 1.01–1.18) and stillbirth, but the association between the maternal exposure to PM2.5 (per 10 μg/m3 increased) in the first trimester (OR: 1.01, 95% CI: 0.90–1.13) and second trimester (OR: 1.06, 95% CI: 0.98–1.14) and stillbirth was not statistically significant. Besides, there was no publication bias. Conclusions Maternal exposure to PM2.5 in the entire pregnancy and third trimester was associated with elevated risk of stillbirth. However, due to the high heterogeneity, further pathophysiological researches and high quality population studies were still warranted.

Jatropha curcas is an important bioenergy oil plant, and often planted on barren land to save the area of arable land. It is significant to improve the adaptability of J. curcas to various abiotic stresses. In the present study, we transferred a J. curcas gene, encoding a CBF2 transcription factor, into Nicotiana benthamiana. Under drought treatment, the JcCBF2 transgenic lines showed improved survival rate, leaf water retention and active oxygen scavenging capacity, but reduced photosynthesis and transpiration rate, suggesting that JcCBF2 played an important role in improving plant drought tolerance. Overexpressing JcCBF2 decreased leaf area and increased leaf thickness. To explore the possible mechanisms for the change of leaf anatomical structure, the leaves of wild-type and overexpression lines under drought stress were RNA sequenced. Genes involved in the plant hormones signal transduction were found to be enriched. Cytokinin and indole-3-acetic acid were the major plant hormones whose abundance increased. Quantitative RT-PCR analysis showed expression of NbMYB21, NbMYB86 and NbMYB44 and both abscisic acid (ABA) and jasmonic acid (JA) related genes in the overexpression lines were increased under drought stress. These results indicated that JcCBF2 was able to positively regulate plant drought response by changing the leaf anatomical structure and possibly through JA and ABA signalling pathways. Our work may help us to understand the drought tolerant mechanism.

Vegetable oils are mainly stored in the form of triacylglycerol (TAG) in oilseeds. Fatty acids (FAs), one of the building blocks for TAG assembly, are synthesized in plastids and then exported to the endoplasmic reticulum for storage oil synthesis. A recent study demonstrated that the export of FAs from plastids was mediated by a FAX (FA export) family protein. However, the significance of FAs export from plastid during seed oil accumulation has not been investigated. In this study, we found that FAX2 was highly expressed in developing Arabidopsis seeds and the expression level was consistent with FAs synthesis activity. FAX2 mutant seeds showed an approximately 18% reduction of lipid levels compared with wild-type seeds. By contrast, overexpression of FAX2 enhanced seed lipid accumulation by up to 30%. The FAs export activity of FAX2 was confirmed by yeast mutant cell complementation analysis. Our results showed that FAX2 could interact with other proteins to facilitate FAs transport. Taken together, these results indicate that FAX2-mediated FA export from plastids is important for seed oil accumulation, and that FAX2 can be used as a target gene for increasing lipid production in oilseeds.

By choosing the density of particle as the design variables, a new implementation method of topology optimization is presented based on the Element-free Galerkin (EFG) method in this paper, in which the optimal objective is to minimize structural compliance. The advantage of using nodal density is that the displacement and density in the influence domain have the same approximation scheme, and the smoothness of the density field can be improved. Nodal density method presented can prevent the checkerboard from the mathematical model proposed. The topology optimal model based on EFG method under multiple loading cases and stress constraints is proposed, and the sensitivity analysis of optimal design is derived in detail. By using solid isotropic material with penalization (SIMP) method and optimality criteria (OC) method, an algorithm of topology optimization based on the EFG method is presented. The shortcoming of using nodal density can be overcome by introducing the penalty function method. Three topolog...

By use of 4-node isoparametric quadrangle interface element between finite element (FE) and meshless regions, a collocation approach is introduced to couple firstly FE and element-free Galerkin (EFG) method in this paper. By taking derivative of discreteness equilibrium equation at interface element with respect to design variable, a numerical method for discreteness-based shape design sensitivity analysis in interface element is obtained. The design sensitivity analysis (DSA) of coupled FE–EFG method is achieved by employing the DSA of nodal displacement at the interface element. The numerical method presented is testified by examples. It can be observed excellent agreement between the numerical results and the analytical solution. Finally the shape optimization of fillet is achieved by using coupled FE–EFG method. The result obtained show that imposing of the essential boundary condition is easy to implement, the computational time is reduced and the distortion of mesh is avoided.

In this study the numerical analysis and simulation of the microstress field for the polymer matrix composites are achieved by combining the finite element method with the homogenization theory at the location of the crack tip where macrostress concentration occurs. The relation of the macro-micro stress concentration is investigated, and the results obtained show that the microstress concentration coefficients are relevant to the material property of inclusion at the microstatus, but not with the inclusion volume fraction or the location at the macrostructure. The microstress field is obtained in which the material property of inclusion is changed from flexibility to rigidity and the inclusion material possesses different volume fractions. The distribution rule of concentration coefficient for the principal stress, the radial stress, the tangential stress, and the Von Mises stress is displayed along the circumferential interface of inclusion respectively.

The most advantage of meshless method is that it can alleviate the mesh constrained of node, and the distortion of mesh presented in the process of structural shape optimization can be completely avoided by integrating the meshless method into the shape optimization. In many meshless methods, the element-free Galerkin (EFG) method is one of the most promising and well-developed method for engineering application. However the EFG method is marked by some shortcoming, where the primary one is that there is much more computational cost and it is difficult in imposing the essential boundary condition. The advantage in both finite element (FE) method and EFG method can be developed by integrating coupled FE-EFG method into structural shape optimization. A collocation approach is introduced to couple firstly FE and EFG method with isoparametric quadrangle interface element between EF and meshless regions, and the interpolation function for the displacement at the interface element satisfies the linear consistency exactly. By taking derivative of discreteness equilibrium equation in FE method with respect to design variable, a numerical method for discreteness-based shape design sensitivity analysis using coupled FE-EFG method is obtained. The design sensitivity analysis of coupled FE-EFG method is completed by collocation approach at the interface element. The numerical method mentioned above is testified by examples. It can be observed excellent agreement between the numerical results and the analytical solution. Finally the shape optimization of fillet is achieved by using coupled FE-EFG method.

A numerical method is developed for shape optimization of axisymmetric structures based on choosing the sets of fictitious loads acting on a structure‘s ’control point’ as the optimizing design variable. The axisymmetric structure is decomposed by using an isoparametric parabolic-type element that has high accuracy for design sensitivity analysis. An efficient analytic method, based on a fictitious load variable, is developed for sensitivity analysis in shape optimization of the axisymmetric structure. Two optimization examples have been tested successfully.