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Novel model of thermo-magneto-viscoelastic medium with variable thermal conductivity under effect of gravity

Applied Mathematics and Mechanics(English Edition) 2020年第5期41卷 819-832页

作者： S.M.SAID Department of Mathematics Faculty of ScienceZagazig UniversityZagazig 44519Egypt Department of Mathematics Faculty of Science and ArtsQassim UniversityBuridah 51931Al-mithnabKingdom of Saudi Arabia

The basic equations for a homogeneous and isotropic thermo-magnetoviscoelastic medium are formulated based on three different theories, i.e., the GreenLindsay(G-L) theory, the coupled(CD) theory, and the Lord-Shulman(L-S) theory. The variable thermal conductivity is considered as a linear function of the temperature. Using suitable non-dimensional variables, these basic equations are solved via the eigenvalue approach. The medium is initially assumed to be stress-free and subject to a thermal *** numerical results reveal that the viscosity, the two-temperature parameter, the gravity term, and the magnetic field significantly influence the distribution of the physical quantities of the thermoelastic medium.

关键词： eigenvalue approach variable thermal conductivity thermo-viscoelastic gravity field

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STRESS ANALYSIS OF INJECTION MOLDED PARTS IN POST-FILLING STAGE

引用

Chinese Journal of Mechanical Engineering 2000年第1期13卷 41-46页

作者： Jiang Tao Chen Xing Li Dequn (National Key ho of Plastic Simulation & Molding Technology Huazhong University of Science & Technology) 华中科技大学塑性成形模拟及模具技术国家重点实验室湖北武汉

The linear isothermo-viscoelastic constitutive equation is established according to the principle of viscoelastic mechanics. Given the boundary conditions of the temperature field, the linear thermo-viscoelastic constitutive equation is established acording to the analysis of the thermorheologically simple. The stress analysis model is constructed on the base of some reasonable hypotheses which consider the restraint conditions of mold and the characteristics of injection molding in the post-filling stage. The mathematical model is calculated by the finite difference method. The results can help to predict the warpage of plastic products.

关键词： Injection molding Stress analysis thermo-viscoelastic Laplace transform

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viscoelastic constitutive relation of laminated composite under nonconstant temperature

引用

Progress in Natural Science:Materials International 1998年第3期8卷 3-5页

作者：段滋华郭兆璞 China Dalian 116024 Dalian University of Technology Department of Chemistry Engineering Research Institute of Engineering Mechenics Taiyuan 030024 Taiyuan University of Technology

The viscoelastic constitutive relation of laminated composite under nonconstant temperature is presented based on macroimitalism theory from the point of view of continuous medium mechanics The general recursiveequation of integral constitutive relation is developed by a discretized formulation on time and a linear Lagrangian func-tion, which can easily be used to solve practical problems in engineering.

关键词： thermo-viscoelastic composite laminate

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