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An elastoplastic framework for granular materials becoming cohesive through mechanical densification. Part II - the formulation of elastoplastic coupling at large strain

机译：用于颗粒材料的弹塑性框架变得粘结   通过机械致密化。第二部分 - 弹塑性配方   在大应变下耦合

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The two key phenomena occurring in the process of ceramic powder compactionare the progressive gain in cohesion and the increase of elastic stiffness,both related to the development of plastic deformation. The latter effect is anexample of `elastoplastic coupling', in which the plastic flow affects theelastic properties of the material, and has been so far considered only withinthe framework of small strain assumption (mainly to describe elasticdegradation in rock-like materials), so that it remains completely unexploredfor large strain. Therefore, a new finite strain generalization ofelastoplastic coupling theory is given to describe the mechanical behaviour ofmaterials evolving from a granular to a dense state. The correct account ofelastoplastic coupling and of the specific characteristics of materialsevolving from a loose to a dense state (for instance, nonlinear --or linear--dependence of the elastic part of the deformation on the forming pressure inthe granular --or dense-- state) makes the use of existing large strainformulations awkward, if even possible. Therfore, first, we have resorted to avery general setting allowing general transformations between work-conjugatestress and strain measures; second, we have introduced the multiplicativedecomposition of the deformation gradient and, third, employing isotropy andhyperelasticity of elastic response, we have obtained a relation between theBiot stress and its `total' and `plastic' work-conjugate strain measure. Thisis a key result, since it allows an immediate achievement of the rateelastoplastic constitutive equations. Knowing the general form of theseequations, all the specific laws governing the behaviour of ceramic powders arefinally introduced as generalizations of the small strain counterparts given inPart I of this paper.
机译：陶瓷粉末压实过程中发生的两个关键现象是内聚力的逐步增加和弹性刚度的增加，两者均与塑性变形的发展有关。后一种效应是“弹塑性耦合”的一个例子，其中塑性流动会影响材料的弹性，到目前为止，仅在小应变假设的框架内才考虑（主要是描述岩石材料的弹性降解），因此对于大应变，它仍然是完全未开发的。因此，给出了弹塑性耦合理论的一种新的有限应变广义理论，用以描述材料从颗粒状态到致密状态的力学行为。正确解释了弹塑性耦合以及材料从松散状态转变为致密状态的特定特征（例如，非线性的或线性的变形弹性部分对颗粒状或致密的成形压力的依赖性状态）会笨拙地使用现有的大型应变公式，即使可能的话。因此，首先，我们求助于一般设置，以允许在共轭应力和应变测量之间进行一般转换。第二，我们引入了变形梯度的乘积分解，第三，利用弹性响应的各向同性和超弹性，获得了毕奥特应力与其“总”和“塑性”功共轭应变度量之间的关系。这是一个关键结果，因为它可以立即实现速率弹塑性本构方程。知道了这些方程式的一般形式后，最后介绍了控制陶瓷粉末行为的所有特定定律，作为本文第一部分中对小应变对应物的概括。

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