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首页> 外文期刊>International journal of mathematics and mathematical sciences >Thermoelastic waves without energy dissipation in an unbounded body with a spherical cavity
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Thermoelastic waves without energy dissipation in an unbounded body with a spherical cavity

机译:具有球腔的无边界物体中没有能量耗散的热弹性波

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The linear theory of thermoelasticity without energy dissipationis employed to study waves emanating from the boundary of aspherical cavity in a homogeneous and isotropic unboundedthermoelastic body. The waves are supposed to be sphericallysymmetric and caused by a constant step in temperature applied tothe stress-free boundary of the cavity. Small-time solutions forthe displacement, temperature, and stress fields are obtained byusing the Laplace transform technique. It is found that thereexist two coupled waves, of which one is predominantly elastic andthe other is predominantly thermal, both propagating with finitespeeds but with no exponential attenuation. Exact expressions fordiscontinuities in the field functions that occur at thewavefronts are computed and analysed. The results are comparedwith those obtained earlier in the contexts of some other modelsof thermoelasticity.
机译:在没有能量耗散的情况下,采用热弹性线性理论来研究均质和各向同性无边界热弹性体中非球面边界处产生的波。假定这些波是球形对称的,并且是由施加到空腔无应力边界的恒定温度步进引起的。通过使用拉普拉斯变换技术获得位移,温度和应力场的小时间解。发现存在两个耦合波,其中一个主要是弹性的,另一个主要是热的,都以有限的速度传播,但没有指数衰减。计算并分析了发生在波前的场函数中不连续性的精确表达式。将结果与早先在其他一些热弹性模型中获得的结果进行比较。

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