论文标题
非简单材料的热蛋白杂志的一些结果
Some results on thermopiezoelectricity of nonsimple materials
论文作者
论文摘要
在本文中,我们考虑了一种热蛋白杂志非简单材料模型的线性理论,该模型采用了熵产生的不平等和绿色法律提出的熵生产不平等,而帕萨雷拉(Passarella)(2022)(2022)。我们建立互惠定理和具有对称中心的均质和各向异性热Zoelectric非简单材料的变异原理。这些定理的证明使用时间卷积产品和场方程的替代公式。此外,在不使用对内部能量的确定性假设的情况下建立了唯一性结果。
In this paper, we consider the linear theory for a model of a thermopiezoelectric nonsimple material adopting the entropy production inequality proposed by Green and Laws as presentated in Passarella (2022). We establish reciprocity theorems and a variational principle for homogeneous and anisotropic thermopiezoelectric nonsimple materials with a center of symmetry. The proof of these theorems use the time convolution product and an alternative formulation of the field equations. Moreover, a uniqueness result is established without using the definiteness assumptions on internal energy.