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Gradient Theory for Crack Analysis in Thermoelectric Materials.
- Source :
- AIP Conference Proceedings; 2020, Vol. 2309 Issue 1, p020003-1-020003-7, 7p
- Publication Year :
- 2020
-
Abstract
- In this paper the strain gradients in constitutive equation of stresses are considered as coupled to the thermos-electric-mechanical problem with cracks. The principle of virtual work is applied to derive the finite element equation for a general 2d boundary value problem. Due to the higher order of derivatives in gradient theory it is needed to use C¹- continuous elements to guarantee the continuity of the derivates at the element boundaries. It is not an easy task to develop C¹ continuous elements. Therefore, the mixed FEM formulation is developed here. The C<superscript>0</superscript> continuous interpolation is independently applied for both the displacements and displacement gradients. The kinematic constraints between strains and displacements are satisfied at some cleverly chosen internal points inside elements. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 2309
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 147324476
- Full Text :
- https://doi.org/10.1063/5.0033983