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An elastoplastic framework for granular materials becoming cohesive through mechanical densification. Part Ⅰ - small strain formulation

机译:通过机械致密化使粒状材料粘结的弹塑性框架。第一部分-小应变公式

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摘要

Mechanical densification of granular bodies is a process in which a loose material becomes increasingly cohesive as the applied pressure increases. A constitutive description of this process faces the formidable problem that granular and dense materials have completely different mechanical behaviours (nonlinear elastic properties, yield limit, plastic flow and hardening laws), which must both be, in a sense, included in the formulation. A treatment of this problem is provided here, so that a new phenomenological, elastoplastic constitutive model is formulated, calibrated by experimental data, implemented and tested, that is capable of describing the transition between granular and fully dense states of a given material. The formulation involves a novel use of elastoplastic coupling to describe the dependence of cohesion and elastic properties on the plastic strain. The treatment falls within small strain theory, which is thought to be appropriate in several situations; however, a generalization of the model to large strain is provided in Part Ⅱ of this paper.
机译:粒状体的机械致密化是一个过程,其中随着施加压力的增加,疏松的材料变得越来越粘聚。该过程的组成描述面临一个巨大的问题,即粒状和致密的材料具有完全不同的机械性能(非线性弹性,屈服极限,塑性流动和硬化规律),从某种意义上讲,这两者都必须包含在配方中。在此提供了对该问题的处理方法,因此可以构造新的现象学,弹塑性本构模型,并通过实验数据进行校准,实施和测试,该模型能够描述给定材料的颗粒状态和完全致密状态之间的过渡。该配方涉及弹塑性耦合的新颖用途,以描述内聚力和弹性特性对塑性应变的依赖性。这种处理属于小应变理论,认为在某些情况下是适当的。然而,本文第二部分提供了该模型对大应变的推广。

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