含裂纹板的准脆性断裂解析模型

Q3 Mathematics
V. Kurguzov, N. S. Astapov
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引用次数: 0

摘要

本文考虑具有极限应变的弹塑性材料与正分离I型边裂纹的矩形板。这类材料包括,例如,在低于冷脆性阈值的温度下运行的结构中使用的低合金钢。板的强度在Neuber - Novozhilov方法的框架内进行了研究。裂纹扩展准则采用改进的Leonov—Panasyuk—Dugdale模型,加入塑性区直径(断裂前区宽度)作为附加参数。在裂纹尖端附近存在应力场奇异特征的小尺度屈服条件下,建立了弹塑性材料I型裂纹准脆性断裂的双参数判据。断裂双准则包括裂纹尖端的变形准则和虚拟裂纹尖端的受力准则。原始裂缝和虚拟裂缝的长度随预断裂带的长度不同而不同。建立了平面变形和平面应力条件下板的准脆性断裂图。对拟脆性断裂模型中包含的参数进行了分析。提出了根据单轴拉伸近似(σ—ε)图和KIc临界应力强度因子选择模型参数的方法
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Analytical Model of Quasi-Brittle Fracture of a Plate with Crack
The paper considers a rectangular plate with the edge crack of mode I of normal separation from the elastoplastic material with the ultimate strain. This class of materials includes, for example, the low-alloy steels used in structures operating at temperatures below the cold brittleness threshold. The strength of the plate was studied within the framework of the Neuber --- Novozhilov approach. The crack propagation criterion was formulated using the modified Leonov --- Panasyuk --- Dugdale model using an additional parameter, i.e., the plasticity zone diameter (pre-fracture zone width). Under conditions of small-scale yielding in the presence of the stress field singular feature in the vicinity of the crack tip, the two-parameter (dual) criterion for quasi-brittle fracture was formulated for mode I cracks in the elastoplastic material. The fracture dual criterion included deformation criterion at the crack tip, as well as the force criterion at the fictitious crack tip. The lengths of the original and fictitious cracks were differing by the length of the pre-fracture zone. Diagrams of the plate quasi-brittle fracture under conditions of plane deformation and plane stress were constructed. The parameters included in the proposed quasi-brittle fracture model were analyzed. It was proposed to select model parameters according to the approximation (σ--ε)-diagram of uniaxial tension and the KIc critical stress intensity factor
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来源期刊
CiteScore
1.10
自引率
0.00%
发文量
40
期刊介绍: The journal is aimed at publishing most significant results of fundamental and applied studies and developments performed at research and industrial institutions in the following trends (ASJC code): 2600 Mathematics 2200 Engineering 3100 Physics and Astronomy 1600 Chemistry 1700 Computer Science.
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