The Thermodynamics of linear irreversible processes is presented from a unified viewpoint. This provides a new and synthetic approach to the linear mechanics of deformation of solids, which includes as particular cases the classical theory of Elasticity, Thermoelasticity and Viscoelasticity. The first two sections constitute an introduction to the general concepts and principles of linear Therm...

The writer’s theory of surface instability of au elastic body under initial stress in finite strain is extended to anisotropic elasticity. The general characteristic equation for surface instability is derived. In addition, the surface deflexion under a normal load is evaluated for the subcritical case of initial stress. The analysis includes the case in which gravity is taken into account. It ...

A nominal finite element solver is proposed for data-driven strain elasticity. It bypasses the need a constitutive model by considering database of deformation gradient/first Piola–Kirchhoff stress tensors pairs. The boundary value problem reformulated as constrained minimization distance between (i) mechanical states, i.e. strain–stress, in body and (ii) material states coming from database. c...

This paper first considers the approximation of peridynamics by strain-gradient models in the linear, one-dimensional setting. Strain-gradient expansions that approximate the peridynamic dispersion relation using Taylor series are compared to strain-gradient models that approximate the peridynamic elastic energy. The dynamic and energetic expansions differ from each other, and neither captures ...

K.M. Davoudi, M.Yu. Gutkin and H.M. Shodja* Department of Civil Engineering, Center of Excellence in Structures and Earthquake Engineering, Sharif University of Technology, 11155-9313 Tehran, Iran Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Bolshoj 61, Vasil. Ostrov, St. Petersburg 199178, Russia Department of Physics of Materials Strength and Plasticity, St. P...