Introduction. Functionally graded materials are of great use, because heterogeneity properties enables to control the strength and rigidity structures. This has caused interest in topic world scientific literature. The construction solutions such problems depends significantly on type boundary conditions. In this paper, we consider equilibrium a thin-walled circular cylinder whose mechanical ch...

Abstract We develop a theory of finite element systems, for the purpose discretizing sections vector bundles, in particular those arising elasticity. In presence curvature, we prove discrete Bianchi identity. flat case, de Rham theorem on cohomology groups. check that some known mixed elements stress–displacement formulation elasticity fit our framework. also define, dimension two, first confor...

This paper presents a coupled thermal-hydraulic-mechanical (THM) model for simulating failure processes in geological media. The coupling between stress/strain and heat transfer describing how thermal expansion affects stress is based on the theory of thermo-elasticity. Additionally, fluid flow pore-pressure governed by Biot's consolidation theory. Stress/strain-dependent porosity/permeability/...

The question of ‘generalization’ to finite strains of the constitutive relations of infinitesimal strain theory of elasticity, and classical elasto-plasticity with isotropic and kinematic hardening, is critically examined. Simple generalizations, which lead to physically plausible material behaviour, are presented. The current controversies surrounding (i) the choice of stress-rate in the above...

Conjugated polymers are promising actuation materials for biomimetic robots and biomedical devices. Large bending is involved in some of these applications. This poses significant challenges in electromechanical modeling, because the linear elasticity theory is only valid when the strain is small. In this paper an effective strategy based on the nonlinear elasticity theory is proposed to model ...

Buckling analysis of a functionally graded (FG) nanobeam resting on two-parameter elastic foundation is presented based on third-order shear deformation beam theory (TOSDBT). The in-plane displacement of TOSDBT has parabolic variation through the beam thickness. Also, TOSDBT accounts for shear deformation effect and verifies stress-free boundary conditions on upper and lower faces of FG nanobea...

Buckling analysis of a functionally graded (FG) nanobeam resting on two-parameter elastic foundation is presented based on third-order shear deformation beam theory (TOSDBT). The in-plane displacement of TOSDBT has parabolic variation through the beam thickness. Also, TOSDBT accounts for shear deformation effect and verifies stress-free boundary conditions on upper and lower faces of FG nanobea...

The Convergent Beam Electron Diffraction technique (CBED) has been applied to determine the lattice strain in Sii-xGez/Si heterostructures and below patterned films on silicon substrates. The well known problem of the stress relaxation which occurs m thinned TEM samples has been overcome, m the case of the heterostructures, by applying the isotropic elasticity theory to the lattice constants me...

to evaluate the effect of replacing the almond meal on viscoelastic properties of rice cake, stress relaxation test was carried out. stress relaxation test were conducted using a texture analyzer machine. constants of the peleg - normand and the extended maxwell model for variables were calculated. the results showed that with increasing strain rate increased amount of k1, k2 and decay forces, ...