We investigate the pure bending of an elastic prismatic beam, but unlike in the classical
setting we assume that the material parameters are density-dependent. The corresponding …

Abstract The Euler–Bernoulli beam bending theory in elementary (engineering) mechanics
uses two fundamental assumptions, first that the material behaviour is isotropic elastic and …

While nonlinear-elastic materials demonstrate potential in enhancing the performance of
compliant mechanisms, their behavior still needs to be captured in a generalized …

This paper is devoted to the study of the plane-stress deformation of a beam composed of
non-classical elastic materials that are suitable for modeling certain inter-metallic alloys with …

The pernicious effect of far-fault and near-fault earthquake records on the seismic behavior
of concrete structures has been studied widely. In addition, several research works have …

A general class of implicit bodies was proposed to describe elastic response of solids, which
contains the Cauchy–Green tensor as a function of Cauchy stress. Here, we consider the …

Abstract Existing Euler-Bernoulli beam theories in classical elastostatics suffer from the
inconsistency that either the elasticity law or the equilibrium equations are not satisfied in …

The Euler–Bernoulli beam bending theory in engineering mechanics assumes that the
material behavior is isotropic elastic and that plane cross sections remain plane and rigid. It …

A theory for two-dimensional (2D) beams is presented for the case of considering new
constitutive equations, wherein the linearized (infinitesimal) strain tensor is assumed to be a …

In the present work, a comparative study is done between Shear-indeformable (Euler-
Bernoulli) model and Shear-deformable (Timoshenko) model for two different types of …