论文标题
通过Eulerian方法，在大菌株处的多孔固体的粘膜动力学
Viscoelastodynamics of swelling porous solids at large strains by an Eulerian approach
论文作者
论文摘要
制定并分析了大型菌株下饱和超弹性多孔固体的模型。假定材料响应是粘弹性开尔文 - voigt类型的，也考虑了惯性效应。扩散剂的流动是由化学电位梯度驱动的，并通过发生肿胀和挤压而与力学耦合。涵盖了由于重力场中不断发展的质量密度而引起的浮力效应。还包括高阶粘度，可以实现物理相关的存储能量和变形的局部可逆性。整个系统以速率以完全欧拉的形式制定。讨论了该模型的能量学，并通过合并的正则化 - 盖尔金近似参数证明了弱解的存在和规律性。
A model of saturated hyperelastic porous solids at large strains is formulated and analysed. The material response is assumed to be of a viscoelastic Kelvin-Voigt type and inertial effects are considered, too. The flow of the diffusant is driven by the gradient of the chemical potential and is coupled to the mechanics via the occurrence of swelling and squeezing. Buoyancy effects due to the evolving mass density in a gravity field are covered. Higher-order viscosity is also included, allowing for physically relevant stored energies and local invertibility of the deformation. The whole system is formulated in a fully Eulerian form in terms of rates. The energetics of the model is discussed and the existence and regularity of weak solutions is proved by a combined regularization-Galerkin approximation argument.
