In this review paper, some relevant models, algorithms, and approaches conceived to
describe the bone tissue mechanics and the remodeling process are showcased …

In this paper, we exploit some results in the theory of irreversible phenomena to address the
study of quasi-static brittle fracture propagation in a two-dimensional isotropic continuum …

Mechanical behavior of materials with granular microstructures is confounded by unique
features of their grain-scale mechano-morphology, such as the tension–compression …

In this article, we summarize the developments in the mathematical modeling of the
mechanics of bone and related biological phenomena. We will devote special attention to …

By using modern additive manufacturing techniques, a structure at the millimeter length
scale (macroscale) can be produced showing a lattice substructure of micrometer …

Holes and fissures, regarded as typical defects, dominate a critical role in the mechanical
behavior of rock. To investigate the effect of different horizontal distances L or L′ between …

This paper is devoted to the development of a continuum theory for materials having
granular microstructure and accounting for some dissipative phenomena like damage and …

The central theme of this study is to investigate a remarkable capability of a second-gradient
continuum model developed for pantographic structures. The model is applied to a particular …

A variational model describing a one-dimensional mechanical system in which heat
conduction phenomena occur is consistently formulated. Lagrangian variational perspective …

The crack propagation behavior of plane strain micro-plates is studied in this paper using
the modified couple stress theory and the phase-field theory. To the best of our knowledge …