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Mohr-Coulomb criterion with circular failure envelope, extended to materials with strength-differential effect
Materials & Design ( IF 8.4 ) Pub Date : 2018-06-01 , DOI: 10.1016/j.matdes.2018.03.043
Paul Barsanescu , Adrian Sandovici , Alexandru Serban

Abstract The linear Mohr–Coulomb (M-C) failure criterion is widely used to describe the behaviour of materials with compression/tension asymmetry, such as geological materials. Difference in compressive and tensile fracture/yielding stress is so-called strength difference or SD effect. A modified M-C criterion was proposed previously to describe the failure of ductile materials and to better fit the experimental data [ 1 ]. A circular failure envelope, tangent to the Mohr's circles corresponding to the limit state of stress for uniaxial tension, compression and pure shear, was considered. In this paper, the above circular M-C criterion is extended to brittle materials (with SD effect). The new criterion has been compared with fundamental criteria in plasticity theory and experimental results taken from literature. In the space σ1-σ3 it is represented by two segments of hyperbola and allows a smooth transition from linear M-C to Rankine criteria. It proves to be adaptable to a wide range of materials and this is a major advantage. Moreover, the paper demonstrates also that all yield criteria for standard plastic materials, without SD effect, under biaxial state of stress, are insensitive to hydrostatic pressure.

中文翻译:

具有圆形破坏包络的 Mohr-Coulomb 准则,扩展到具有强度差异效应的材料

摘要 线性莫尔-库仑 (MC) 破坏准则被广泛用于描述具有压缩/拉伸不对称性的材料的行为,例如地质材料。压缩和拉伸断裂/屈服应力的差异是所谓的强度差异或 SD 效应。先前提出了修改后的 MC 准则来描述延性材料的失效并更好地拟合实验数据 [1]。考虑了与单轴拉伸、压缩和纯剪切应力极限状态对应的莫尔圆相切的圆形破坏包络线。本文将上述圆形 MC 准则推广到脆性材料(具有 SD 效应)。新标准已与塑性理论中的基本标准和文献中的实验结果进行了比较。在 σ1-σ3 空间中,它由两段双曲线表示,并允许从线性 MC 平滑过渡到 Rankine 准则。事实证明,它适用于多种材料,这是一个主要优势。此外,该论文还证明了标准塑料材料的所有屈服标准,在双轴应力状态下,没有 SD 效应,对静水压力不敏感。
更新日期:2018-06-01
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