Geometric damage tensor based on microplane model

Geometric damage tensor based on microplane model
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DOI:
10.1061/(asce)0733-9399(1991)117:10(2429
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发表时间:
1991-10
期刊:
Journal of Engineering Mechanics-asce
影响因子:
--
通讯作者:
I. Carol;Z. Bažant;P. Prat
I. Carol;Z. Bažant;P. Prat
中科院分区:
其他
文献类型:
--
作者:
I. Carol;Z. Bažant;P. Prat

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建立描述微裂纹和孔洞引起的分布损伤的本构模型的一种很有吸引力的方法是用有效应力和应变当量的概念建立连续损伤力学。在这种方法中,损伤被想象为表征材料的净应力传递横截面面积的减小,本构模型被分为两个独立的部分,一个用于损伤,另一个用于除损伤之外的弹性和非弹性行为(流变学),如果适当地组合,这两个部分可以给出整体的本构行为。然而,现有的损伤多维公式相当复杂,而且很难获得能够拟合实验数据的实际实现。相比之下,微平面模型提供了概念上的简单性和对混凝土、土壤等的多轴试验数据的紧密拟合,尽管如过去所阐述的那样,在微平面应力-应力-应力的定义中混合了各种物理现象。
An appealing approach to formulate constitutive models for characterizing distributed damage due to microcracks and voids is continuum damage mechanics with the concepts of effective stress and strain equivalence. In that approach, in which damage is imagined to characterize the reduction of the net stress‐transmitting cross‐section area of the material, the constitutive model is separated into two independent parts, one for damage and the other for elastic and inelastic behavior (rheology) other than damage, which, if combined appropriately, give the overall constitutive behavior. However, the existing multidimensional formulations for damage are quite complex, and practical implementations capable of fitting experimental data are hard to obtain. The microplane models, by contrast, provide conceptual simplicity and close fits of multiaxial test data for concrete, soils, etc., although, as formulated in the past, various kinds of physical phenomena were mixed in the definition of the microplane stress‐str...