The dependence of the modulus of elasticity on reference temperature in generalized thermoelasticity with thermal relaxation
The dependence of the modulus of elasticity on reference temperature in generalized thermoelasticity with thermal relaxation
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DOI：
10.1016/s0096-3003(02)00660-4
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
M. Ezzat;A. El-Karamany;A. A. Samaan-A.
中科院分区：
文献类型：
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作者：
M. Ezzat;A. El-Karamany;A. A. Samaan-A.
建立了力学性质随温度变化的各向同性弹性介质中考虑热松弛的广义热弹性力学方程组模型。弹性模量被认为是参考温度的线性函数。状态空间方法被用于在没有或存在热源的情况下解决一维问题。使用了拉普拉斯变换技术。采用数值方法反演的拉普拉斯变换。每个问题的应力分布的数值结果和图示。与温度无关的弹性模量的情况下得到的结果进行了比较。
The model of the equations of generalized-thermoelasticity with thermal relaxation in an isotropic elastic medium with temperature-dependent mechanical properties is established. The modulus of elasticity is taken as a linear function of reference temperature. The state space approach is adopted for the solution of one-dimensional problems in the absence or presence of heat sources. The Laplace transform technique is used. A numerical method is employed for the inversion of the Laplace transforms. Numerical results for the stress distribution are given and illustrated graphically for each problem. A comparison is made with results obtained in case of temperature-independent modulus of elasticity.