Mixed mode fracture analysis of adiabatic cracks in homogeneous and non-homogeneous materials in the framework of partition of unity and the path-independent interaction integral

E Goli; H. Bayesteh; S. Mohammadi

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Mixed mode fracture analysis of adiabatic cracks in homogeneous and non-homogeneous materials in the framework of partition of unity and the path-independent interaction integral

机译：在统一分配和与路径无关的相互作用积分框架下均质和非均质材料中绝热裂纹的混合模式断裂分析

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In this paper, the path independent interaction integral has been implemented in the framework of the extended finite element method for mixed mode adiabatic cracks under thermo-mechanical loadings particularly in orthotropic non-homogenous materials. The mesh insensitivity and increased accuracy due to the thermal and displacement asymptotic analytical solutions are discussed and the contour independency of the interaction integral is investigated in different examples. Finally, the problem of crack propagation in orthotro pic FGM materials under the thermal loading is investigated to assess the accuracy and robustness of proposed approach.

机译：在本文中，已经在热机械载荷下，特别是在正交各向异性非均质材料中的混合模式绝热裂纹的扩展有限元方法框架内，实现了与路径无关的相互作用积分。讨论了由于热和位移渐近解析解而引起的网格不敏感和精度提高，并在不同示例中研究了相互作用积分的轮廓独立性。最后，研究了在热载荷下正交各向异性FGM材料中裂纹扩展问题，以评估所提出方法的准确性和鲁棒性。

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《Engineering Fracture Mechanics》 |2014年第null期|共28页
作者
E Goli; H. Bayesteh; S. Mohammadi;
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正文语种 eng
中图分类工程力学;
关键词
Interaction integral; Adiabatic crack; Thermo-mechanical loading; Extended finite element method (XFEM); Orthotropic;

机译：相互作用积分;绝热裂纹;热机械载荷;扩展有限元法（XFEM）;正交各向异性;

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1. Mixed mode fracture analysis of adiabatic cracks in homogeneous and non-homogeneous materials in the framework of partition of unity and the path-independent interaction integral [J] . E Goli, H. Bayesteh, S. Mohammadi Engineering Fracture Mechanics . 2014,第Null期

机译：在统一分配和与路径无关的相互作用积分框架下均质和非均质材料中绝热裂纹的混合模式断裂分析
2. Mechanical modeling and fracture analysis for a non-homogeneous weldment with a crack perpendicular to the interface [J] . Li YD, Zhang HC, Tan W, International Journal of Solids and Structures . 2008,第22a23期

机译：裂纹垂直于界面的非均质焊件的力学建模和断裂分析
3. A new domain-independent interaction integral for three-dimensional non-homogeneous thermoelastic materials [J] . Engineering Fracture Mechanics . 2020,第期

机译：一种新的三维非均匀热弹性材料的独立式相互作用积分
4. Crack-Interface Crack Interaction in FGM/Homogeneous Bimaterials under Thermo-Mechanical Loading: Analysis by Fracture Criteria [C] . Vera Petrova, Siegfried Schmauder European Conference on Fracture . 2012

机译：机械应力作用下FGM /均质双材料的裂纹界面裂纹相互作用：基于断裂准则的分析
5. ASPECTS OF FRACTURE MECHANICS FOR ELASTIC SOLIDS COUPLED TO OTHER FIELDS (CRACK, DIELECTRIC, PATH-INDEPENDENT INTEGRALS, CONSERVATION LAWS, THERMOELASTIC FRACTURE) [D] . PAK, YUKEUN EUGENE 1985

机译：耦合到其他领域的弹性体的断裂力学方面（裂纹，介电，与路径无关的积分，守恒律，热弹性断裂）
6. Partially non-homogeneous dynamic Bayesian networks based on Bayesian regression models with partitioned design matrices [O] . Mahdi Shafiee Kamalabad, Alexander Martin Heberle, Kathrin Thedieck, -1

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7. Mode III fracture analysis of a non-homogeneous layer bonded to an elastic half-plane weakened by multiple interface cracks [O] . R. Sourki, M. Ayatollahi, M. M. Monfared 2017

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Mixed mode fracture analysis of adiabatic cracks in homogeneous and non-homogeneous materials in the framework of partition of unity and the path-independent interaction integral

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