Unique real-variable expressions of the integral kernels in the somigliana stress identity covering all transversely isotropic elastic materials for 3D BEM
From MaRDI portal
Publication:695883
DOI10.1016/j.cma.2012.03.014zbMath1253.74123OpenAlexW1970511968MaRDI QIDQ695883
Federico París, Jhonny E. Ortiz, Vladislav Mantič, Luis Távara
Publication date: 17 December 2012
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2012.03.014
boundary element methodfundamental solutiontransversely isotropic materialhypersingular boundary integral equationinfinitesimal dislocation loopsomigliana stress identity
Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for boundary value problems involving PDEs (65N38)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solution of crack problems. The distributed dislocation technique
- Weakly-singular, weak-form integral equations for cracks in three-dimensional anisotropic media
- Derivatives of the three-dimensional Green's functions for anisotropic materials
- Numerical evaluation of derivatives of the anisotropic piezoelectric Green's functions
- Symmetrical representation of stresses in the Stroh formalism and its application to a dislocation and a dislocation dipole in an anisotropic elastic medium
- Explicit expression of derivatives of elastic Green's functions for general anisotropic materials.
- Residue approach for evaluating the 3D anisotropic elastic Green's function: multiple roots
- 3D BEM for general anisotropic elasticity
- Multiple pole residue approach for 3D BEM analysis of mathematical degenerate and non-degenerate materials
- Stress Analysis of 3D Generally Anisotropic Elastic Solids Using the Boundary Element Method
- Internal point solutions for displacements and stresses in 3D anisotropic elastic solids using the boundary element method
- Evaluation of Explicit-form Fundamental Solutions for Displacements and Stresses in 3D Anisotropic Elastic Solids
- Pressuring, shearing, torsion and extension of a circular tube or bar of cylindrically anisotropic material
- Boundary element formulation for 3D transversely isotropic cracked bodies
- Symmetric Galerkin Boundary Element Method
- Unique real-variable expressions of displacement and traction fundamental solutions covering all transversely isotropic elastic materials for 3D BEM
- Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
- Point Force Solution for an Infinite Transversely Isotropic Solid
- Efficient implementation of anisotropic three dimensional boundary-integral equation stress analysis
- Evaluation of the anisotropic Green's function and its derivatives
- The three-dimensional elastostatic Green's function for general anisotropic linear elastic solids
- Computation of thermal stresses in quasistatic non‐stationary thermoelasticity using boundary elements
- On the residue calculus evaluation of the 3-D anisotropic elastic green's function
- Three-dimensional Green's function and its derivative for materials with general anisotropic magneto-electro-elastic coupling
