The classical linear theory of elasticity has been largely used for the ultrasonic
characterization of bone. However, linear elasticity cannot adequately describe the …

An asymptotic crack-tip solution under conditions of plane strain is developed for a material
that obeys a special form of linear isotropic strain gradient elasticity. In particular, an elastic …

The finite element method (FEM) is developed to analyse general 2D boundary value
problems in size-dependent piezoelectric, elastic solids with cracks. The size-effect …

Flexoelectricity describes the electromechanical coupling between the stain gradient and
the electric polarization, which can play an important role in the fracture behavior of …

Based on a consistent couple stress elasticity theory, a two-dimensional (2D) boundary
element method (BEM) is developed to solve the boundary value problems in the couple …

This paper reviews the theory and the numerical implementation of the direct boundary
element method (BEM) as applied to static and dynamic problems of strain gradient elastic …

Couple‐stresses are introduced to account for the microstructure of a material within the
framework of continuum mechanics. Linear isotropic versions of such materials possess a …

We propose novel algorithms to calculate the inverses of ill-conditioned matrices, which
have broad engineering applications. The vector-form of the conjugate gradient method …

The present work aims to primarily provide a general representation of the solution of the
simplified elastostatics version of Mindlin's Form II first-strain gradient elastic theory, which …

In this paper, a novel phase field (PF) model for fracture is developed in the framework of
strain gradient elasticity. The strain energy decomposition methods initially proposed for …