Theoretical and Applied Fracture Mechanics ( IF 5.3 ) Pub Date : 2021-01-18 , DOI: 10.1016/j.tafmec.2020.102877 Cong Tien Nguyen , Selda Oterkus
This study presents a novel ordinary state-based peridynamic model for geometrically nonlinear analysis of plates. The nonlinear strain energy density and nonlinear equations of motion for a plate in peridynamics are obtained based on the principle of virtual displacements by using Total Lagrange formulation. The numerical procedure for geometrically nonlinear analysis of a plate is also provided. The accuracy of the proposed nonlinear peridynamic model is validated by considering large deformations of a plate subjected to bending and a plate subjected to transverse shear forces. To further demonstrate the capabilities of the proposed nonlinear model, damages on a plate with a single crack subjected to stretching and tearing, a plate with two parallel cracks subjected to tearing, and a plate subjected to torsional loading are predicted.
中文翻译:
基于普通状态的绕动力学,用于板的几何非线性分析
这项研究为板的几何非线性分析提出了一种新的基于普通状态的周向动力学模型。运用总拉格朗日公式,基于虚拟位移原理,获得了板块在动力学中的非线性应变能密度和非线性运动方程。还提供了板几何非线性分析的数值程序。通过考虑受弯板和受横剪力板的大变形来验证所提出的非线性绕动力学模型的准确性。为了进一步证明所提出的非线性模型的功能,预测了具有单个裂纹的板在受到拉伸和撕裂,具有两个平行裂纹的板在受到撕裂以及板承受扭转载荷的情况下的损伤。