Saint-Venant Problems for Two-dimensional Elastic Solids

2019 3rd International Workshop on Renewable Energy and Development

能源学;生态环境科学

Zhang, Weixiang^1

Nantong Polytechic College, Nantong, Jiangsu

226002, China^1

关键词: Elastic solids;    Integral transformations;    Laplace transformations;    Saint-Venant;    Saint-Venant problems;    Symplectic;    System methods;    Time domain solution;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/267/3/032074/pdf
DOI  :  10.1088/1755-1315/267/3/032074

学科分类：环境科学（综合）

来源: IOP

【 摘 要 】

Using the symplectic system method, the classical Saint-venant problems in elasticity are studied. Based on the Laplace transformation and integral transformation and the symplectic character, all the Saint-Venant solutions, including the tension, bending and local solutions, are obtained. The final solution of the problem can be directly analysed in the time domain solution space. As applications of the proposed method, some stress concentration boundary condition problems are discussed.