Back to Search
Start Over
Stress-driven modeling of nonlocal thermoelastic behavior of nanobeams
- Source :
- International Journal of Engineering Science. 126:53-67
- Publication Year :
- 2018
- Publisher :
- Elsevier BV, 2018.
-
Abstract
- A consistent stress-driven nonlocal integral model for nonisothermal structural analysis of elastic nano- and microbeams is proposed. Most nonlocal models of literature are strain-driven and it was shown that such approaches can lead toward a number of difficulties. Following recent contributions within the isothermal setting, the developed model abandons the classical strain-driven methodology in favour of the modern stress-driven elasticity theory by G. Romano and R. Barretta. This effectively circumvents issues associated with strain-driven formulations. The new thermoelastic nonlocal integral model is proven to be equivalent to an adequate set of differential equations, accompanied by higher-order constitutive boundary conditions, when the special Helmholtz averaging kernel is adopted in the convolution. The example section provides several applications, thus enabling insight into performance of the formulation. Exact nonlocal solutions are established, detecting also new benchmarks for thermoelastic numerical analyses.
- Subjects :
- Integral model
Nanobeam
Differential equation
Nanobeams, Size effects, Stress-driven elasticity, Nonlocal thermoelasticity, Analytical modelling
FOS: Physical sciences
Applied Physics (physics.app-ph)
02 engineering and technology
Convolution
Stress (mechanics)
symbols.namesake
Engineering (all)
Thermoelastic damping
0203 mechanical engineering
Nonlocal thermoelasticity
Applied mathematics
General Materials Science
Size effect
Boundary value problem
Physics
Mechanical Engineering
Analytical modelling
General Engineering
Stress-driven elasticity
Physics - Applied Physics
021001 nanoscience & nanotechnology
020303 mechanical engineering & transports
Kernel (image processing)
Mechanics of Materials
Helmholtz free energy
symbols
0210 nano-technology
Subjects
Details
- ISSN :
- 00207225
- Volume :
- 126
- Database :
- OpenAIRE
- Journal :
- International Journal of Engineering Science
- Accession number :
- edsair.doi.dedup.....bca1f42bce24af6ccc8b60ba23a3f4d0