TY  - EJOU
AU  - Wang, Ningjie 
AU  - Wang, Yihao 
AU  - Pei, Yongle 
AU  - Li, Luxian 

TI  - PDE Standardization Analysis and Solution of Typical Mechanics Problems
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2024
VL  - 141
IS  - 1
SN  - 1526-1506

AB  - A numerical approach is an effective means of solving boundary value problems (BVPs). This study focuses on physical problems with general partial differential equations (PDEs). It investigates the solution approach through the standard forms of the PDE module in COMSOL. Two typical mechanics problems are exemplified: The deflection of a thin plate, which can be addressed with the dedicated finite element module, and the stress of a pure bending beam that cannot be tackled. The procedure for the two problems regarding the three standard forms required by the PDE module is detailed. The results were in good agreement with the literature, indicating that the PDE module provides a promising means to solve complex PDEs, especially for those a dedicated finite element module has yet to be developed.
KW  - Three standard forms; expression input; PDE module; deflection solution; stress solution

DO  - 10.32604/cmes.2024.053520