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首页> 外文期刊>Applied Mathematical Modelling >A new class of plastic flow evolution equations for anisotropic multiplicative elastoplasticity based on the notion of a corrector elastic strain rate
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A new class of plastic flow evolution equations for anisotropic multiplicative elastoplasticity based on the notion of a corrector elastic strain rate

机译：基于校正器弹性应变率概念的新型各向异性塑性弹塑性塑性演化方程

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Highlights•New class of elastoplastic evolution equations are based on the chain rule.•Uses the concept of plastic corrector of the elastic strains in a continuum setting.•Additive in logarithmic strains and compatible with the multiplicative decomposition.•Valid for both large elastic and plastic strains, elastic and plastic anisotropy.•It solves the so-called rate issue in plasticity.AbstractWe herein present a new continuum theory for both isotropic and anisotropic elastoplasticity at large strains. The new framework has the following properties: (1) It is valid for non-moderate large strains, (2) it is valid for both elastic and plastic anisotropy, (3) its description in rate form is parallel to that of the infinitesimal formulation, (4) it is compatible with the multiplicative decomposition, (5) results in a similar framework in any stress-strain work-conjugate pair, (6) it is consistent with the principle of maximum plastic dissipation and (7) does not impose any restriction on the plastic spin, which must be given as an independent constitutive equation. Furthermore, when formulated using logarithmic strain measures in the intermediate configuration: (8) it may be easily integrated using a classical backward-Euler rule resulting in an additive update. All these properties are obtained simply considering a plastic evolution in terms of a corrector rate of the proper elastic strain. This new continuum theory is a natural framework for elastoplasticity of both metals and soft materials and solves the (so-coined by Simo)rate issue.
机译： 突出显示 • 新的弹塑性演化方程基于链规则。 • 在连续体设置中使用弹性应变的塑性校正器的概念。 • 对数菌株中的添加剂，与乘性分解兼容。 • < ce：para id =“ para0004” vie w =“ all”>对于大的弹性和塑性应变，弹性和塑性各向异性均有效。 • 它解决了可塑性中所谓的费率问题。 摘要< / ce：section-title> 我们在此为这两种方法提供了一种新的连续谱理论大应变时的各向同性和各向异性弹塑性。新框架具有以下特性：（1）对非中等大应变有效；（2）对弹性各向异性和塑性各向异性均有效；（3）速率形式的描述与无穷小公式的描述平行，（4）与乘法分解兼容，（5）在任何应力-应变功-共轭对中产生相似的框架，（6）与最大塑性耗散原理一致，（7）不施加对塑料自旋的任何限制，都必须作为一个独立的本构方程给出。此外，在中间配置中使用对数应变测量公式时：（8）可以使用经典的反向欧拉规则轻松地将其集成，从而导致累加更新。只需考虑适当弹性应变的校正率的塑性演变即可获得所有这些特性。这种新的连续体理论是金属和软材料弹塑性的自然框架，并解决了（由Simo创造）速率问题。

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