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Nonlinear Dynamic Response Of Piezoelectric Elasto-plastic Laminated Plates With Damage

机译：损伤的压电弹塑性叠合板的非线性动力响应

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Based on the elasto-plastic mechanics and continuum damage theory, a yield criterion that is related to the spherical stress tensor is proposed to describe the mixed hardening of damaged orthotropic materials, and the dimensionless form of which is isomorphic with the Mises criterion for isotropic materials. Then, the incremental elasto-plastic damage constitutive equations and damage evolution equations of ortho-tropic materials are established. By using the classical nonlinear plate theory, the incremental nonlinear dynamic governing equations of the piezoelectric elasto-plastic laminated plates with damage are obtained, and the equations are solved by finite difference method and iteration method. In the numerical examples, the effect of damage evolution, piezoelectric effect and external loads on the nonlinear dynamic response of elasto-plastic laminated plates are discussed detailed. The numerical results show that the mechanical properties of the structures change remarkably when considering the damage, damage evolution and piezoelectric effects.
机译：基于弹塑性力学和连续损伤理论，提出了一种与球形应力张​​量有关的屈服准则来描述正交异性材料的混合硬化，其无量纲形式与各向同性材料的米塞斯准则同构。 。然后，建立了正交异性材料的增量弹塑性损伤本构方程和损伤演化方程。利用经典的非线性板理论，得到了带损伤的压电弹塑性叠层板的增量非线性动力控制方程，并通过有限差分法和迭代法求解。在数值示例中，详细讨论了损伤演变，压电效应和外部载荷对弹塑性层压板非线性动力响应的影响。数值结果表明，考虑损伤，损伤演化和压电效应后，结构的力学性能发生了显着变化。

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