A unified theory of thermomechanical materials

TL;DR: In this article, a continuum theory of non-local polar bodies is developed for nonlinear micromorphic elastic solids, and the balance laws and jump conditions are given.

TL;DR: The nonlocal continuum concept has emerged as an effective means for regularizing the boundary value problems with strain softening, capturing the size effects and avoiding spurious localization that gives rise to pathological mesh sensitivity in numerical computations as mentioned in this paper.

TL;DR: In this article, a third gradient theory has been proposed to describe the homogenized energy associated with a microscopic structure using pantographic-type structures, where the deformation energies involve combinations of nodal displacements in the form of second-order or third-order finite differences.

TL;DR: In this paper, the authors analyzed nonlocal constitutive models used in simulations of damage and fracture processes of quasibrittle materials and found that some of them inevitably lead to residual stresses even at very late stages of the deformation process and, consequently, they are not capable of modeling complete separation in a widely open macroscopic crack.

TL;DR: In this paper, the formulation of the basic field equations, boundary conditions and constitutive equations of simple micro-elastic solids is discussed. And explicit expressions of constitutive expressions of several simple micro elastic solids are given and applied to some special problems.

TL;DR: The Mecanique des sols Reference Record was created on 2004-09-07, modified on 2016-08-08 as mentioned in this paper, and is based on the Milieux poreux reference record.