We present the fundamental concepts of SPH with particular emphasis on its state-of-the-art
applications in geomechanics and geotechnical engineering. In the first part of the paper, we …

Some of the most important aspects of numerical modelling of cracking in concrete are
reviewed. After a discussion of the three main lines in modelling cracking–discrete crack …

Although already suggested in the middle of the 19th century, have material models that
include higher gradients of the kinematical variables become a blossoming field of research …

The paper presents a thermodynamically consistent formulation for nonlocal damage
models. Nonlocal models have been recognized as a theoretically clean and …

This paper presents a framework for modeling failure in quasi-brittle geomaterials under
different loading conditions. A micromechanics-based model is proposed in which the field …

A reproducing kernel strain regularization (RKSR) as a mathematical generalization of
gradient theory and non-local theory for strain localization problems is presented. RKSR …

Localised failure in geomaterials invalidates the assumption of homogeneous deformation
that constitutive models based on continuum mechanics rest on. In such cases, the …

A nonlocal thermodynamic theoretical framework is provided as a basis for a consistent
formulation of gradient-dependent plasticity in which a scalar internal variable measuring …

The paper presents an approach to constitutive modelling of concrete using damage
mechanics and plasticity theory. The thermodynamic formulation, and parameter …

A unified approach is given for isotropic and anisotropic damage formulations for concrete
fracture. The formulation encompasses the classical fixed and rotating smeared crack …