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Design sensitivity analysis for transient explicit dynamic response of elasto-plastic shell structures

机译:弹塑性壳结构瞬态显式动力响应的设计灵敏度分析

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Computational strategy for the design sensitivity analysis (DSA) in finite-element explicit dynamic computations of elasto-plastic shell structures is presented. The formulation of the primary problem includes fully nonlinear finite-rotation shell kinematics and a large-deformation constitutive model based on the elastic-plastic split of the deformation gradient. Associated flow rule with nonlinear hardening is adopted. Design derivatives are determined analytically for a class of design parameters consisting of the input material constants of the constitutive model. Design-differentiation of the primary algorithm is presented with a number of possible simplifications indicated. Despite a great complexity of the solution algorithm for the finite-rotation elastic-plastic shells, it is feasible to compute analytical design derivative of this algorithm, and the yielded sensitivities are of very good accuracy.
机译:提出了弹塑性壳结构有限元显式动力计算中的设计灵敏度分析(DSA)的计算策略。主要问题的公式化包括完全非线性有限旋转壳运动学和基于变形梯度弹塑性分裂的大变形本构模型。采用了带有非线性硬化的关联流规则。对于由本构模型的输入材料常数组成的一类设计参数,通过分析确定设计导数。给出了主要算法的设计差异,并指出了许多可能的简化方法。尽管有限旋转弹塑性壳体的求解算法非常复杂,但是计算该算法的解析设计导数是可行的,并且所产生的灵敏度具有非常好的准确性。

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