A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations
A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations
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DOI：
10.1016/0045-7825(85)90061-1
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发表时间：
1985-06
影响因子：
7.2
通讯作者：
J. Simo;M. Ortiz
中科院分区：
文献类型：
--
作者：
J. Simo;M. Ortiz
通过假设从一开始的超弹性本构行为，提出了一种替代方法，有限变形塑性和粘塑性，从而需要集成的空间速率本构方程是完全绕过。为了提高该方法的适用性，参考了塑性和粘塑性的一般配方，它体现了乘法和加法理论。提出了一种新的返回映射算法，该算法能够适应一般屈服条件、任意流动和硬化规则以及非常数切线弹性。最后，一个数值例子说明了非常大的时间步长的方法的优良性能。
By assuming from the outset hyperelastic constitutive behavior, an alternative approach to finite deformation plasticity and viscoplasticity is proposed whereby the need for integration of spatial rate constitutive equations is entirely bypassed. To enhance the applicability of the method, reference is made to a general formulation of plasticity and viscoplasticity which embodies both the multiplicative and additive theories. A new return mapping algorithm capable of accommodating general yield conditions, arbitrary flow and hardening rules and non-constant tangent elasticities is proposed. Finally, a numerical example is presented which illustrates the excellent performance of the method for very large time steps.