International Journal of Engineering Science 

About: International Journal of Engineering Science is an academic journal published by Elsevier BV. The journal publishes majorly in the area(s): Boundary value problem & Constitutive equation. It has an ISSN identifier of 0020-7225. Over the lifetime, 6707 publications have been published receiving 191957 citations.

The relation between load and penetration in the axisymmetric Boussinesq problem for a punch of arbitrary profile

Abstract: A solution of the axisymmetric Boussinesq problem is derived from which are deduced simple formulae for the depth of penetration of the tip of a punch of arbitrary profile and for the total load which must be applied to the punch to achieve this penetration. Simple expressions are also derived for the distribution of pressure under the punch and for the shape of the deformed surface. The results are illustrated by the evaluation of the expressions for several simple punch shapes.

On nonlocal elasticity

Abstract: Via the vehicles of global balance laws and the second law of thermodynamics, a theory of nonlocal elasticity is presented. Constitutive equations are obtained for the nonlinear theory, first through the use of a localized Clausius-Duhem inequality and second through a variational statement of Gibbsian global thermodynamics.

Nonlocal polar elastic continua

Abstract: A continuum theory of nonlocal polar bodies is developed. Both the micromorphic and the non-polar continuum theories are incorporated. The balance laws and jump conditions are given. By use of nonlocal thermodynamics and invariance under rigid motions, constitutive equations are obtained for the nonlinear micromorphic elastic solids. The special case, nonpolar, nonlocal elastic solids, is presented.

Nonlocal theories for bending, buckling and vibration of beams

Abstract: Various available beam theories, including the Euler–Bernoulli, Timoshenko, Reddy, and Levinson beam theories, are reformulated using the nonlocal differential constitutive relations of Eringen. The equations of motion of the nonlocal theories are derived, and variational statements in terms of the generalized displacements are presented. Analytical solutions of bending, vibration and buckling are presented using the nonlocal theories to bring out the effect of the nonlocal behavior on deflections, buckling loads, and natural frequencies. The theoretical development as well as numerical solutions presented herein should serve as references for nonlocal theories of beams, plates, and shells.

Nonlinear theory of simple micro-elastic solids-i

Abstract: The present work is concerned with the formulation of the basic field equations, boundary conditions and constitutive equations of what we call ‘simple micro-elastic’ solids. Such solids are affected by the ‘micro’ deformations and rotations not encountered in the theory of finite elasticity. The theory, in a natural fashion, gives rise to the concept of stress moments, inertial spin and other types of second order effects and their laws of motion. The mechanism of the surface tension is contained in the theory. In a forthcoming paper (Part II) explicit expressions of constitutive equations of several simple micro-elastic solids will be given and applied to some special problems.