A Green-Naghdi approach to finite anisotropic rate-independent and rate-dependent thermo-plasticity in logarithmic Lagrangean strain-entropy space
A Green-Naghdi approach to finite anisotropic rate-independent and rate-dependent thermo-plasticity in logarithmic Lagrangean strain-entropy space
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DOI：
10.1016/j.cma.2009.06.006
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发表时间：
2009-09
影响因子：
7.2
通讯作者：
Manfred H. Ulz
中科院分区：
文献类型：
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作者：
Manfred H. Ulz
本文提出了有限应变下对数拉格朗日应变熵空间中速率无关和速率相关热塑性的唯象模型。公式和计算实现基于 Green 和 Naghdi 提出的将应变测量加性分解为弹性和塑性部分。开发了对数拉格朗日应变熵空间中的速率无关和速率相关本构模型，用于模拟各向同性弹性和各向异性塑性材料行为。此外，Miehe 提出的塑性度量概念、Simo 和 Miehe 提出的各向同性硬化变量和塑性熵概念主导了内部变量描述。该模型在关联热塑性内变量的隐式积分算法中保留了经典的一般回归映射方案。由此产生的热力耦合问题通过变形的等熵相和热场的等几何相交错解决。代表性的数值模拟证明了所提出模型的性能。
The paper presents a phenomenological model of rate-independent and rate-dependent thermo-plasticity in the logarithmic Lagrangean strain–entropy space at finite strains. The formulation and computational implementation are based on an additive decomposition of the strain measure into an elastic and plastic part as proposed by Green and Naghdi. A rate-independent and rate-dependent constitutive model in the logarithmic Lagrangean strain–entropy space is developed for the modelling of isotropic elastic and anisotropic plastic material behaviour. Furthermore, the notion of a plastic metric as proposed by Miehe, an isotropic hardening variable and the notion of a plastic entropy as proposed by Simo and Miehe dominate the internal variable description. The model keeps the classical general return-mapping scheme in the implicit integration algorithm of the internal variables of associative thermo-plasticity. The resulting coupled thermo-mechanical problem is solved staggeredly via an isentropic phase for the deformation and an iso-geometrical phase for the thermal field. Representative numerical simulations demonstrate the performance of the proposed model.