__.________________.______ Introduction _ _ _ ___ _ _ .. Principal features of the theory of elasticity Stress __________._____.__.___ ___ Types of stress. ______________.__.. Variation with orientation of stress at a point Stresses in static equilibrium _ Strain . ... _.... _........ . _...._.. ......... Definitions and notation .. . Stress-strain relations in the elastic state. Condition of c...

today, the use of coatings is common to maintain the quality of fruits in storage period. previous studies have shown that the calcium compounds can improve and preserve the strength of fruit’s cell wall. in this research, the effect of calcium chloride dehydrate (cacl2*2h2o) concentration on two varieties of apple (golden delicious and red delicious), was studied. the apples were immersed in t...

In this article thermoelastic damping in nano-beam resonators is investigated based on nonlocal theory of elasticity and the Euler-Bernoulli beam assumptions. The governing equation of deflection of the beam is obtained from shear and moment resultants and stress–strain relationship of the nonlocal elasticity model and also the governing equations of thermoelastic damping are established by usi...

In this paper, a new approach is proposed for stress state - dependent flow localization in bifurcation failure model bounded through ductile damage in dynamically loaded sheets. Onset of localized necking is considered in phenomenological way for different strain rates to draw the forming limit diagram (FLD). Using a strain metal hardening exponent in the Vertex theory related to the strain ra...

For classical elasticity, the constitutive equations (Hooke’s law) have the same functional form for both homogeneous and nonhomogeneous materials. However, for straingradient elasticity, such is not the case. This paper shows that for strain-gradient elasticity with volumetric and surface energy (Casal’s continuum), extra terms appear in the constitutive equations which are associated with the...

deflection analysis of a simply supported microbeam subjected to a concentrated load at the middle is investigated on the basis of a shear deformable beam theory and non-classical theory. effects of shear deformation and small size are taken into consideration by hyperbolic shear deformable beam theory and modified strain gradient theory, respectively. the governing differential equations and c...