A multifield model for blocky materials based on multiscale description

A multifield model for blocky materials based on multiscale description
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DOI:
10.1016/j.ijsolstr.2005.03.027
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发表时间:
2005-10
影响因子:
3.6
通讯作者:
P. Trovalusci;R. Masiani
P. Trovalusci;R. Masiani
中科院分区:
工程技术2区
文献类型:
--
作者:
P. Trovalusci;R. Masiani

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提出了一种多尺度方法来模拟具有微尺度特征的块状材料的力学行为。从微观层面上的描述,这些材料作为相互作用的刚性元件的系统,给出了一个公式的存储能量,以导出宏观本构方程的线弹性等效多场连续。该连续体的结果是一个微极连续体,适合于描述砖/砌块砌体的力学行为,以及节理岩石或基质/颗粒复合材料,占的大小,方向和安排的元素。这种多尺度方法被证明是有效的,也在非线性框架。材料的非线性行为表示通过内部约束来自划界施加到块系统的相互作用。一些数值例子显示了线性和非线性框架中离散和连续建模之间的对应关系。
A multiscale approach to model the mechanical behaviour of blocky materials that exhibit microscale features is proposed. From the description of these materials at microscopic level, as systems of interacting rigid elements, a formula for the stored energy is given in order to derive the macroscopic constitutive equations of a linear elastic equivalent multifield continuum. This continuum results to be a micropolar continuum suitable to describe the mechanical behaviour of brick/block masonry, as well as jointed rocks or matrix/particle composites, accounting for the size, the orientation and the arrangement of the elements. This multiscale approach proves to be effective also in the non-linear framework. The material non-linear behaviour is represented through internal constraints derived from delimitations imposed to the interactions of the block system. Some numerical examples show the correspondence between discrete and continuum modelling, both in the linear and in the non-linear frame.