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首页> 外文期刊>International journal of mechanics and materials in design >One-step semi-implicit integration of general finite-strain plasticity models
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One-step semi-implicit integration of general finite-strain plasticity models

机译：一步半隐式集成一般有限菌株塑性模型

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摘要

Using the Kroner-Lee elastic and plastic decomposition of the deformation gradient, a differential-algebraic system is obtained (in the so-called semi-explicit form). The system is composed by a smooth nonlinear differential equation and a non-smooth algebraic equation. The development of an efficient one-step constitutive integrator is the goal of this work. The integration procedure makes use of an explicit Runge-Kutta method for the differential equation and a smooth replacement of the algebraic equation. The resulting scalar equation is solved by the Newton-Raphson method to obtain the plastic multiplier. We make use of the elastic Mandel stress construction, which is power-consistent with the plastic strain rate. Iso-error maps are presented for a combination of Neo-Hookean material using the Hill yield criterion and a associative flow law. A variation of the pressurized plate is presented. The exact Jacobian for the constitutive system is presented and the steps for use within a structural finite element formulation are described .
机译：使用克朗 - lee弹性和塑料分解变形梯度，获得差动代数系统（以所谓的半明确形式）。该系统由平滑的非线性微分方程和非平滑代数方程组成。高效的一步组成型集成商的发展是这项工作的目标。集成程序利用用于微分方程的显式跳动-Kutta方法和代数方程的平滑替换。由此产生的标量方程由Newton-Raphson方法解决以获得塑料乘法器。我们利用弹性凸缘应力结构，这是塑性应变率的动力符合。使用Hill产量标准和联想流法，提供了Neo-Hookean材料的组合的ISO错误地图。提出了加压板的变型。提出了组成型系统的精确雅可比，并且描述了用于结构有限元制剂的步骤。

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