In the present work, a zigzag model for symmetric laminated beam is developed. This model uses a sine term to represent the nonlinear displacement field across the thickness as compared to a third order polynomial term in conventional theories. Transverse shear stress and strain are represented by a cosine term as compared to parabolic term. This model satisfies displacement and transverse shea...

A variable sensitivity displacement interferometer ~VSDI! used to monitor both normal and in-plane particle displacements in stress wave propagation experiments is introduced. The general system consists of two interferometers working in tandem. Normally reflected light is interfered with each of two symmetrically diffracted light beams generated by the specimen rear surface. In cases where the...

In this paper, a numerical study is conducted to investigate the stress shadow effects (stress reorientation and change) during hydraulic fracturing in a transverse multiple fracture system. A numerical model is used for the numerical study. It is a 3D model and can simulate the fracture operation from injection begin to full closure (fracture contact). Therefore, there is no need to assume the...

The coupled modeling of the flow of two immiscible fluid phases in a heterogeneous, elastic, porous material is formulated in a manner analogous to that for a single fluid phase. An asymptotic technique, valid when the heterogeneity is smoothly varying, is used to derive equations for the phase velocities of the various modes of propagation. A cubic equation is associated with the phase velocit...

Abstract—The effect of non-homogeneity on the free transverse vibration of thin rectangular plates of bilinearly varying thickness has been analyzed using generalized differential quadrature (GDQ) method. The non-homogeneity of the plate material is assumed to arise due to linear variations in Young’s modulus and density of the plate material with the in-plane coordinates x and y . Numerical re...

Let V« [vx,...,vn] be the «-dimensional space of coordinate functions on a set of points ¡cR" where v is the set of vertices of a regular convex polyhedron. In this paper the absolute projection constant of any «-dimensional Banach space E isometrically isomorphic to V c C(v) is computed, examples of which are the well-known cases E = ITM, lln.

Sarcolemmal ATP-sensitive potassium channels (K(ATP)) act as metabolic sensors that facilitate adaptation of the left ventricle to changes in energy requirements. This study examined the mechanism by which K(ATP) dysfunction impairs the left ventricular response to stress using transgenic mouse strains with cardiac-specific disruption of K(ATP) activity (SUR1-tg mice) or Kir6.2 gene deficiency ...

Elastic plates can be described by a two-dimensional theory, if the characteristic length of the stress state along the plate, l; is much bigger than the plate thickness, h: If all elastic moduli of a laminated plate are of the same order, no matter how many lamina the plate has, then the normal to the mid-surface of the plane remain normal in the course of deformation, and the deformation of t...

This paper presents an analytical refined beam model taking into account the axial, shear and transverse normal stress distributions. Based on equilibrium equations in local form iterative procedure for solution of bipotential equation, differential axial motion are derived. From a mathematical point view formal structure obtained is identical to Timoshenko but with increased accuracy. achieved...

A new nonlinear constitutive model for the three-dimensional stress relaxation of articular ligaments is proposed. The model accounts for finite strains, anisotropy, and strain-dependent stress relaxation behavior exhibited by these ligaments. The model parameters are identified using published uniaxial stress-stretch and stress relaxation data on human medial collateral ligaments (MCLs) subjec...