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首页> 外文期刊>International Journal of Solids and Structures >Stress-based nonlocal damage model
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Stress-based nonlocal damage model

机译：基于应力的非局部损伤模型

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摘要

Progressive microcracking in brittle or quasi-brittle materials, as described by damage models, presents a softening behavior that in turn requires the use of regularization methods in order to maintain objective results. Such regularization methods, which describe interactions between points, provide some general properties (including objectivity and the non-alteration of a uniform field) as well as drawbacks (damage initiation, free boundary). A modification of the nonlocal integral regularization method that takes the stress state into account is proposed in this contribution. The orientation and intensity of nonlocal interactions are modified in accordance with the stress state. The fundamental framework of the original nonlocal method has been retained, making it possible to maintain the method's advantages. The modification is introduced through the weight function, which in this modified version depends not only on the distance between two points (as for the original model) but also on the stress state at the remote point. The efficiency of this novel approach is illustrated using several examples. The proposed modification improves the numerical solution of problems observed in numerical simulations involving regularization techniques. Damage initiation and propagation in mode I as well as shear band formation are analyzed herein.
机译：如损伤模型所述，脆性或准脆性材料中的渐进微裂纹呈现出一种软化行为，进而需要使用正则化方法来保持客观结果。此类描述点之间相互作用的正则化方法提供了一些常规属性（包括客观性和均匀场的非替代性）以及缺点（损坏起始，自由边界）。在此贡献中提出了对非局部积分正则化方法的一种修改，其中考虑了应力状态。根据应力状态修改非局部相互作用的方向和强度。保留了原始非局部方法的基本框架，从而可以保持该方法的优势。修改是通过权重函数引入的，该函数在此修改版本中不仅取决于两点之间的距离（对于原始模型），还取决于远程点的应力状态。使用几个示例说明了这种新颖方法的效率。提出的修改改进了涉及正则化技术的数值模拟中观察到的问题的数值解。本文分析了模式I下的损伤萌生和传播以及剪切带的形成。

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