Zhong Zhang, Da Wang, Lu Yao, Jiajing Xu, Yan Xiong, Jie Xiao
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引用次数: 0
Abstract
In this work, the differential quadrature element method (DQEM) is used to conduct heat transfer and thermoelastic analysis for layered beams based on the two-dimensional Fourier’s law and thermoelasticity theory. The method accounts for temperature-dependent (TD) material properties, nonuniform thermal boundary conditions, and various end constraints. To implement the method, the layered beam is decomposed into several sub-domains. At the interfaces of arbitrary two adjacent sub-domains, the continuity conditions are exactly enforced. The differential quadrature technique is applied for the spatial discretization of the governing equations together with the interface and boundary conditions. The convergence of the DQEM solutions is checked. The correctness of the DQEM solutions is validated by comparison with those obtained by the finite element method and those existing in the literature. Finally, the effects of various factors such as TD material properties, nonuniform thermal boundary conditions, and end constraints on the heat transfer and thermoelastic behaviors of the beam are studied.
期刊介绍:
Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.