Titlebook: Computational Homogenization of Heterogeneous Materials with Finite Elements; Julien Yvonnet Book 2019 Springer Nature Switzerland AG 2019

Defiance

Elasticity and Thermoelasticity,blem and the different types of boundary conditions are defined. Then, the definition of the effective elastic fourth-order tensor is introduced. The practical calculation of the effective elastic tensor with 2D and 3D FEM is detailed. An extension to thermoelasticity is described. Finally, referenc

分离

Piezoelectricity,asticity. In contrast to the case of thermoelasticity where the thermal problem has only an effect on the elastic problem and not the opposite, here both problems depend on the solution of each other. After presenting the localization problem defined over the RVE, the different effective operators a

bioavailability

Saturated Porous Media,ewtonian fluid. The first problem is associated with microstructures where the porous cavities are disconnected (see Fig. .a). In that situation, the fluid cannot flow but induces a pressure on the solid matrix which affects the mechanical response of the solid. The overall behavior is then called “

猛烈责骂

Linear Viscoelastic Materials,ep behavior in concrete, among many other engineering applications. Progress in the design of viscoelastic composites require the construction of homogenized models based on microstructural analysis. As compared to the homogenization problems presented in the previous chapters, an additional difficu

能量守恒

When Scales Cannot Be Separated: Direct Solving of Heterogeneous Structures with an Advanced Multisot much smaller than local dimensions of the structures, classical homogenization methods fail to describe the local fields and up to a certain precision even the global response. More precisely, lack of scale separation occurs when the wavelength associated with the strain and stress fields at the