Solving dynamics problem in the frequency domain gives significant advantages compared
with solutions fully computed in the temporal domain, but history-dependent nonlinear …

In the present work, we propose a novel implementation of arc-length method for the
computation of equilibrium paths for frame-like structures. We exploit the advantages of …

A maximum energy dissipation-based incremental approach (MEDIA) is proposed to
overcome limit points, eg strong snap-backs, in the fracture analysis of quasi-brittle …

A weakly-invasive version of the LATIN-PGD method is introduced to compute reduced-
order models in solid mechanics for time-dependent non-linear parametrized problems …

This paper presents a computational model for unreinforced masonry structures, where
softening plasticity describes the behavior of the mortar joints, while a brittle phase-field …

One of the challenges of fatigue simulation using continuum damage mechanics framework
over the years has been reduction of numerical cost while maintaining acceptable accuracy …

In quasi-brittle materials, such as reinforced concrete, localisation of initially diffuse cracking
evolving in localised cracking patterns consists of a numerically challenging task. With …

The most widely used method for simulating the non-linear behaviour of concrete and
masonry structures is the Newton–Raphson method with arc-length control (NR method) …

The LATIN-PGD method is a powerful alternative to the Newton–Raphson scheme for
solving non-linear time-dependent problems in combination with reduced-order modeling …

Two different non-iterative solving approaches for mechanical systems composed of
elements with saw-tooth constitutive laws have been described in the literature. The first …