In this paper, we discuss various formats of gradient elasticity and their performance in static
and dynamic applications. Gradient elasticity theories provide extensions of the classical …

In this paper, we present a critical survey on homogenization theory and related techniques
applied to micromechanics. The validation of homogenization results, the characterization of …

Stress gradient elasticity and strain gradient elasticity do constitute distinct continuum
theories exhibiting mutual complementary features. This is probed by a few variational …

The fundamental problem of non-singular dislocations in the framework of the theory of
gradient elasticity is presented in this work. Gradient elasticity of Helmholtz type and bi …

The current contribution investigates the strain-gradient thermomechanical performance of
architected materials and structures with uniform and graded inner designs. To that scope …

Generalized self-consistent method for particulate composites is realized in the framework of
Mindlin's second gradient elasticity theory (SGET). Effective properties of the …

Most of the mechnoregulatory computational models appearing so far in tissue engineering
for bone healing predictions, utilize as regulators for cell differentiation mainly the octahedral …

Fundamental solutions for two-and three-dimensional linear isotropic size-dependent
couple stress elasticity are derived, based upon the decomposition of displacement fields …

A boundary element method is developed for fracture analysis of gradient elastic planar
solids under static loading. A simple version of Mindlin's general theory of gradient elastic …

An isogeometric boundary element method (IGABEM) is developed for the analysis of two-
dimensional linear and isotropic elastic bodies governed by the couple stress theory. This …