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On damage modeling of material interfaces: Numerical implementation and computational homogenization

机译:关于材料界面的损伤建模:数值实现和计算均质化

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A novel constitutive framework suitable for material interfaces undergoing large deformations in a geometrically exact setting was developed in Ottosen et al. (2016). In contrast to previous works, it permits the description of arbitrary material anisotropies by fulfilling all fundamental balance laws in physics as well as the principle of material objectivity. This paper deals with an efficient finite element implementation of the aforementioned framework in terms of the natural basis vectors. To be more precise, a different, more compact and more direct derivation of this framework is outlined first. It relies on the variational structure of the underlying problem. Subsequently, the aforementioned finite element approximation is elaborated which is finally embedded into a computational homogenization scheme. This scheme allows the analysis of the influence of the novel interface model on the resulting macroscopic (effective) material response. It is shown by numerical examples that the interaction of bulk energies and interface energies leads, in a very natural manner, to a complex size effect. It includes the frequently observed "the smaller the stiffer" relation, but also the less often observed "the smaller the softer" relation. However, since the overall response is usually a superposition of such relations, the effective properties cannot generally be characterized by one of the aforementioned limiting relations. (C) 2018 Elsevier B.V. All rights reserved.
机译:Ottosen等人开发了一种新颖的本构框架,适用于在几何精确设置下经受大变形的材料界面。 (2016)。与以前的工作相比,它可以通过满足物理学中的所有基本平衡定律以及材料客观性原理来描述任意材料各向异性。本文根据自然基向量处理了上述框架的有效有限元实现。更准确地说,首先概述了此框架的不同,更紧凑和更直接的派生。它依赖于潜在问题的变化结构。随后,阐述上述有限元近似,最后将其嵌入到计算均化方案中。该方案允许分析新型界面模型对所得宏观(有效)材料响应的影响。数值示例表明,体能和界面能的相互作用以非常自然的方式导致了复杂的尺寸效应。它包括经常观察到的“越小,越硬”的关系,但也包括很少观察到的“越小,越硬”的关系。但是,由于总体响应通常是这种关系的叠加,因此有效特性通常不能通过上述限制关系之一来表征。 (C)2018 Elsevier B.V.保留所有权利。

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