一个与弹性应变能相协调的脆性横观各向同性材料破坏准则

发布时间：2018-06-12 07:12

本文选题：强度理论 + 横观各向同性　；参考：《岩土力学》2017年08期

【摘要】：岩土材料广泛存在于自然界中,在重力沉积作用下表现出明显的横观各向同性。为了更好地研究横观各向同性材料的破坏机制,基于Christensen提出的破坏准则应与弹性应变能函数相协调的思想,推导了横观各向同性材料的弹性应变能,通过应变能的分解和整理,分析了应变能中各项所表示的物理意义,确定了级数展开的基,从而使得应变能函数和材料破坏准则在形式上具有一致性,最终提出了一个适用于脆性横观各向同性材料的破坏准则。该准则由5项能够与弹性应变能相协调的部分组成,仅包含5个独立且物理力学意义清晰的参数。基于常规试验给出了5个独立参数的确定方案。通过与Tsai-Wu准则及已发表的多组试验数据的对比,验证了准则的正确性。
[Abstract]:Geotechnical materials widely exist in nature and show obvious transversely isotropy under the action of gravity deposition. In order to better study the failure mechanism of transversely isotropic materials, the elastic strain energy of transversely isotropic materials is deduced based on the idea that the failure criterion proposed by Christensen should be coordinated with the elastic strain energy function. The physical meanings expressed in the strain energy are analyzed, and the basis of the series expansion is determined, which makes the strain energy function and the material failure criterion consistent in form. Finally, a failure criterion for brittle transversely isotropic materials is proposed. The criterion consists of five parts which can be compatible with the elastic strain energy and contains only five independent parameters with clear physical and mechanical significance. Based on the conventional experiments, five independent parameters are determined. Compared with the Tsai-Wu criterion and the published experimental data, the correctness of the criterion is verified.
【作者单位】：武汉大学土木建筑工程学院;
【基金】：国家自然科学基金资助项目(No.11172216,No.11472196) 国家重点基础研究发展计划(No.2010CB731502)~~
【分类号】：TU521

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