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典型文献
Accurate and straightforward symplectic approach for fracture analysis of fractional viscoelastic media
文献摘要:
An accurate and straightforward symplectic method is presented for the fracture analysis of fractional two-dimensional (2D) viscoelastic media. The fractional Kelvin-Zener constitutive model is used to describe the time-dependent behavior of viscoelastic materials. Within the framework of symplectic elasticity, the governing equations in the Hamiltonian form for the frequency domain (s-domain) can be directly and rigorously calculated. In the s-domain, the analytical solutions of the displacement and stress fields are constructed by superposing the symplectic eigensolutions without any trial function, and the explicit expressions of the intensity factors and J-integral are derived simultaneously. Comparison studies are provided to validate the accuracy and effectiveness of the present solutions. A detailed analysis is made to reveal the effects of viscoelastic parameters and applied loads on the intensity factors and J-integral.
文献关键词:
作者姓名:
Chenghui XU;Sen LENG;Zhenhuan ZHOU;Xinsheng XU;Zichen DENG
作者机构:
MIIT Key Laboratory of Dynamics and Control of Complex Systems,Department of Engineering Mechanics,Northwestern Polytechnical University,Xi'an 710072,China;State Key Laboratory of Structure Analysis of Industrial Equipment,Department of Engineering Mechanics,Dalian University of Technology,Dalian 116024,Liaoning Province,China
引用格式:
[1]Chenghui XU;Sen LENG;Zhenhuan ZHOU;Xinsheng XU;Zichen DENG-.Accurate and straightforward symplectic approach for fracture analysis of fractional viscoelastic media)[J].应用数学和力学(英文版),2022(03):403-416
A类:
superposing,eigensolutions
B类:
Accurate,straightforward,symplectic,approach,fracture,analysis,fractional,viscoelastic,media,An,accurate,method,presented,two,dimensional,2D,Kelvin,Zener,constitutive,model,used,describe,dependent,behavior,materials,Within,framework,elasticity,governing,equations,Hamiltonian,form,frequency,domain,can,directly,rigorously,calculated,In,analytical,displacement,stress,fields,are,constructed,by,without,any,trial,function,explicit,expressions,intensity,factors,integral,derived,simultaneously,Comparison,studies,provided,validate,accuracy,effectiveness,detailed,made,reveal,effects,parameters,applied,loads
AB值:
0.57268
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