线性各向同性弹性材料二维裂纹结构ALLDMD耗散能量的扩展有限元分析

Bentahar Mohammed
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引用次数: 1

摘要

材料裂纹参数的分析是表征材料应力状态的重要手段。如今,材料在现代工业中占有非常重要的地位,用于研究这种结构的寿命。本文用数值方法研究了α=0°初始直线裂纹(ALLDMD)耗散能的演化。此外,第二个案例研究是基于取向角α=15°,30°和45°倾斜的裂缝。采用X-FEM扩展有限元法。此外,采用了线弹性各向同性均质材料。因此,采用4节点二次型CPS4R单元。然后利用ABAQUS有限元计算程序对裂缝进行数值模拟。计算了ALLDMD耗散能和von Mises应力等表征参数。此外,还对不同网格总尺寸近似TGA=1、2和3mm时的数值模拟结果进行了比较和讨论。在我们工作的所有建模情况下,关于Von Mises应力演化的不同比较结果之间获得了很好的一致性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
ALLDMD Dissipation Energy Analysis by the Method Extended Finite Elements of a 2D Cracked Structure of an Elastic Linear Isotropic Homogeneous Material
The analysis of the crack parameters of a material is an important effect for characterizing the state of stress. Nowadays, materials occupy a very necessary place in modern industry for the study of the life of such structure. This article deals numerically the evolution of (ALLDMD) dissipation energy for an initial rectilinear crack of α=0°. Furthermore, the second case study is based on a crack inclined by the orientation angle α=15°, 30°, and 45°. The X-FEM extended finite element method was used. In addition, the linear elastic isotropic homogeneous material was applied. Thus, the 4-node quadratic CPS4R elements were used. The crack is then modeled numerically using the ABAQUS finite element calculation code. Characterization parameters such as ALLDMD dissipation energy and von Mises stress were calculated. In addition, the results obtained concerning the numerical simulation were compared and discussed between the different mesh approximate total size TGA=1, 2 and 3mm. A good correspondence was obtained between the different comparison results concerning the evolution of the Von Mises stress in all the modeling cases of our work.
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