The mechanically based non-local elasticity: an overview of main results and future challenges
M Di Paola, G Failla, A Pirrotta… - … Transactions of the …, 2013 - royalsocietypublishing.org
The mechanically based non-local elasticity has been used, recently, in wider and wider
engineering applications involving small-size devices and/or materials with marked …
engineering applications involving small-size devices and/or materials with marked …
Kinematic description of crystal plasticity in the finite kinematic framework: A micromechanical understanding of F= FeFp
The plastic component of the deformation gradient plays a central role in finite kinematic
models of plasticity. However, its characterization has been the source of extended debates …
models of plasticity. However, its characterization has been the source of extended debates …
Finite strain discrete dislocation plasticity
VS Deshpande, A Needleman… - Journal of the Mechanics …, 2003 - Elsevier
A framework for carrying out finite deformation discrete dislocation plasticity calculations is
presented. The discrete dislocations are presumed to be adequately represented by the …
presented. The discrete dislocations are presumed to be adequately represented by the …
Laminar flow through fractal porous materials: the fractional-order transport equation
G Alaimo, M Zingales - … in Nonlinear Science and Numerical Simulation, 2015 - Elsevier
The anomalous transport of a viscous fluid across a porous media with power-law scaling of
the geometrical features of the pores is dealt with in the paper. It has been shown that …
the geometrical features of the pores is dealt with in the paper. It has been shown that …
Derivation of F= FeFp as the continuum limit of crystalline slip
In this paper we provide a proof of the multiplicative kinematic description of crystal
elastoplasticity in the setting of large deformations, ie F= F e F p, for a two dimensional …
elastoplasticity in the setting of large deformations, ie F= F e F p, for a two dimensional …
Toward a field theory for elastic bodies undergoing disarrangements
Structured deformations are used to refine the basic ingredients of continuum field theories
and to derive a system of field equations for elastic bodies undergoing submacroscopically …
and to derive a system of field equations for elastic bodies undergoing submacroscopically …
Bulky auxeticity, tensile buckling and deck-of-cards kinematics emerging from structured continua
S Palumbo, AR Carotenuto… - … of the Royal …, 2021 - royalsocietypublishing.org
Complex mechanical behaviours are generally met in macroscopically homogeneous media
as effects of inelastic responses or as results of unconventional material properties, which …
as effects of inelastic responses or as results of unconventional material properties, which …
A primer on plasticity
DJ Steigmann - Constitutive Modelling of Solid Continua, 2020 - Springer
This chapter surveys fundamental aspects of the modern theory of finite elastoplasticity. We
emphasize the now-ubiquitous decomposition of the deformation into elastic and plastic …
emphasize the now-ubiquitous decomposition of the deformation into elastic and plastic …
Kinematics of elasto-plasticity: Validity and limits of applicability of F= FeFp for general three-dimensional deformations
This article provides a multiscale justification of the multiplicative decomposition F= F e F p
for three-dimensional elasto-plastic deformations, and sets its limits of applicability via a …
for three-dimensional elasto-plastic deformations, and sets its limits of applicability via a …
Periodic homogenization in the context of structured deformations
An energy for first-order structured deformations in the context of periodic homogenization is
obtained. This energy, defined in principle by relaxation of an initial energy of integral-type …
obtained. This energy, defined in principle by relaxation of an initial energy of integral-type …