Continuum Mechanics and Thermodynamics ( IF 1.9 ) Pub Date : 2024-06-10 , DOI: 10.1007/s00161-024-01310-7 Marin Marin , Andreas Öchsner , Sorin Vlase
In this study it is approached a linear model for the mixture of two Cosserat bodies having pores. It is formulated the mixed problem with initial and boundary data in this context. The main goal is to show that the coefficients that realize the coupling of the elastic effect with the one due to voids can vary, without the mixture being essentially affected. In a more precise formulation, this means that a small variation of the coefficients in the constitutive equations of the two continua causes only a small variation of the solutions of the corresponding mixed problems, that is, the continuous dependence of the solutions in relation to these coefficients is ensured. The considered mixture model is consistent because all estimates, specific to continuous dependence, are made based on rigorous mathematical relationships.
中文翻译:
两个带空洞的Cosserat体混合体的初始边值问题
在这项研究中,研究了两个具有孔隙的 Cosserat 体的混合物的线性模型。在这种情况下,用初始数据和边界数据制定了混合问题。主要目标是表明实现弹性效应与空隙效应耦合的系数可以变化,而混合物不会受到本质影响。在更精确的表述中,这意味着两个连续体本构方程中系数的微小变化只会导致相应混合问题的解的微小变化,即解与这些连续体相关的连续依赖性系数得到保证。所考虑的混合模型是一致的,因为所有特定于连续依赖性的估计都是基于严格的数学关系进行的。