Abstract The brief history of relaxation in continuum mechanics ranges from early application non-convex plasticity and phase transition formulations to small large strain damage mechanics. However, relaxed are still limited the following sense that their material response lack model softening convexification incremental stress potential is computationally costly. This paper presents a reduced ...

The accumulation of damage within a structure due to service loading or environmental conditions is a random phenomenon. Continuum damage mechanics (CDM) enables macroscopic manifestations of damage to be related to microscopic defects and discontinuities present within a material. This permits margins of safety to be assessed prior to the time at which damage becomes visible or detectable. Und...

A continuum damage mechanics (CDM) meso-model was derived for both intraply and interply progressive failure behaviors of a 2D woven-fabric composite laminate under a transversely low velocity impact. An in-plane anisotropic damage constitutive model of a 2D woven composite ply was derived based on CDM within a thermodynamic framework, an elastic constitutive model with damage for the fibre dir...

Thin-ply composites are gaining significant attention owing to their high damage resistance and ability enhance design flexibility in a composite structure. Herein we proposed mechanics model considering diffuse discrete ply damages thin-ply laminates for mesoscale simulation. To investigate the effects of thickness on evolution, loading unloading tests were conducted using cross-ply, angle-ply...

Metamaterials response is generally modeled by generalized continuum based theories. Their inherent substructure leads to a necessity for higher-order theories, and especially in damage mechanics, such generalization difficult acquire. We exploit the action formalism order obtain governing equations mechanics metamaterials. Additionally, using auxilliary variables, variational formulation endow...

Cyclic stresses applied to bones generate fatigue damage that affects the bone stiffness and its elastic modulus. This paper proposes a finite element model for the prediction of fatigue damage accumulation and failure in cancellous bone at continuum scale. The model is based on continuum damage mechanics and incorporates crack closure effects in compression. The propagation of the cracks is co...

This paper discusses a new method for damage detection based on the most fundamental concept in continuum mechanics: strain compatibility. Compliance with this principle implies a deformed material is free from discontinuities, which are indicative of many types of structural damage. Therefore the principle of strain compatibility, in its ability to identify discontinuities, is very promising a...