A boundary element formulation for design sensitivities in problems involving both geometric and material nonlinearities

✍ Scribed by Subrata Mukherjee; Abhijit Chandra

• Publisher: Elsevier Science
• Year: 1991
• Tongue: English
• Weight: 836 KB
• Volume: 15
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/0895-7177(91)90069-j

✦ Synopsis

A BEM formulation for the determination of design sensitivities for shape optimization in problems involving both geometric and material nonlinearities is presented in this paper. This approach in based on direct diflerentiation (DDA) of th e relevant BEM formnlat,ion of the problem. It retains the advantage of the BEM regarding accuracy, while avoiding strongly singular kernels. This approach provides a new avenue toward efficient shape optimization of elastic-viscoplastic or elastic-plastic problems involving large strains and rotations.