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首页> 外文期刊>Journal of Applied Mechanics and Technical Physics >SUFFICIENT CRITERION OF FRACTURE IN THE CASE WITH A COMPLEX STRESS STATE AND NON-PROPORTIONAL DEFORMATION OF THE MATERIAL IN THE PRE-FRACTURE ZONE
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SUFFICIENT CRITERION OF FRACTURE IN THE CASE WITH A COMPLEX STRESS STATE AND NON-PROPORTIONAL DEFORMATION OF THE MATERIAL IN THE PRE-FRACTURE ZONE

机译：复杂应力状态下断裂的充分判据以及断裂前区域材料的非比例变形

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摘要

A general case of proportional loading with a complex stress state of the material in the pre-fracture zone, which is typical for poly crystalline solids with plastic deformation, is considered. A sufficient criterion of fracture is proposed for the case of a complex stress state with non-proportional deformation of the material in the pre-fracture zone. Critical parameters of fracture {pre-fracture, zone length and load) for cracks propagating in quasi-brittle materials are obtained with the use of a modified Leonov-Panasyuk-Dugdale model. The pre-fracture zone width is determined by solving the problem of the plasticity theory in the vicinity of the crack tip. The proposed modification of the Leonov-Panasyuk-Dugdale model makes it possible to estimate the critical opening of the crack and the critical displacement of the crack flanks. Inequalities that describe different mechanisms of material fracture under proportional loading (predominantly shear fracture mechanism and fracture mechanism through cleavage) are derived.
机译：考虑了在预断裂区域中材料具有复杂应力状态的比例载荷的一般情况，这对于具有塑性变形的多晶固体来说是典型的。对于在预断裂区域中材料具有非比例变形的复杂应力状态，提出了充分的断裂判据。通过使用改进的Leonov-Panasyuk-Dugdale模型获得准脆性材料中裂纹扩展的关键断裂参数（预断裂，区域长度和载荷）。通过解决裂纹尖端附近的塑性理论问题来确定断裂前区域的宽度。 Leonov-Panasyuk-Dugdale模型的拟议修改使估算裂纹的临界开度和裂纹侧面的临界位移成为可能。得出的不等式描述了在比例载荷下材料断裂的不同机理（主要是剪切断裂机理和通过劈裂的断裂机理）。

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