发表机构
Charles University, Faculty of Mathematics and Physics; Vietnam Academy of Science and Technology, Institute of Mathematics; Institute of Information Theory and Automation, Czech Academy of Sciences(查理大学数学物理学院; 越南科学技术院数学研究所; 捷克科学院信息与自动化研究所)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文在恒定压力载荷下,从三维非线性弹性变分推导二维 von Kármán 壳能量,将压力板分析推广至弯曲壳,并引入非线性压力力补充经典推导。
AI 中文摘要
本文研究了在恒定压力载荷存在下,从三维非线性弹性变分推导二维 von Kármán 壳能量的过程。一方面,该论文将现有的压力加载板的分析扩展到壳的弯曲情形。另一方面,它通过引入非线性压力力,补充了壳理论的经典变分推导。
英文摘要
The variational derivation of two-dimensional von Kármán shell energies from three-dimensional nonlinear elasticity is investigated in the presence of constant pressure loads. On the one hand, the paper extends the existing analysis of pressure-loaded plates to the curved setting of shells. On the other hand, it complements the classical variational derivation of shell theories by incorporating a nonlinear pressure force.