Knee articular cartilage exhibits complex mechanical behavior, even under high strain rates, which poses a challenge to developing accurate and efficient cartilage models. In particular, the tissue's stress–strain response is non-linear and the stiffness of the response is location-dependent. Hyperelastic models such as those of Alan Gent and others have increasingly found use in soft tissue bi...

BACKGROUND The biomechanical property of the periodontal ligament (PDL) is important in orthodontics and prosthodontics. The objective of this study was to evaluate the feasibility of measuring the biomechanical behavior of the periodontal ligament using micro-computed tomography (micro-CT). METHODS A custom-made apparatus measured the force and displacement of a porcine PDL specimen within t...

We propose a new approach for data-driven automated discovery of isotropic hyperelastic constitutive laws. The is unsupervised, i.e., it requires no stress data but only displacement and global force data, which are realistically available through mechanical testing digital image correlation techniques; delivers interpretable models, models that embodied by parsimonious mathematical expressions...

Functionally graded materials (FGM) eliminate the stress singularity in interface between two different and therefore have a wide range of applications high temperature environments such as engines, nuclear reactors, spacecrafts etc. Therefore, it is essential to study mechanical properties FGM materials. This paper aims at establishing method for modelling FGMs molecular dynamics (MD) get bett...

Abstract In this paper, modelling of the superposition stress-induced and inherent anisotropy soil small strain stiffness is presented in framework hyperelasticity. A simple hyperelastic model, capable reproducing variable stiffness, extended by replacement stress invariant with mixed stress–microstructure to introduce constant cross-anisotropic component. convenient feature new model low numbe...

The concept of functionally graded materials (FGMs) is closely related to the concept of topology optimization, which consists in a design method that seeks a continuum optimum material distribution in a design domain. Thus, in this work, topology optimization is applied to design FGM structures considering a minimum compliance criterion. The present approach applies the so-called “continuous t...