At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola

Switch between fast and slow Biot compression waves induced by “second gradient microstructure” at material discontinuity surfaces in porous media

(2013) Giuseppe Rosi et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

Reflection and transmission of plane waves at surfaces carrying material properties and embedded in second-gradient materials

(2013) Luca Placidi et al.   MATHEMATICS AND MECHANICS OF SOLIDS

A 2-D continuum model of a mixture of bone tissue and bio-resorbable material for simulating mass density redistribution under load slowly variable in time

(2013) U. Andreaus et al.   ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik

Theoretical nonlinear response of complex single crystal under multi-axial tensile loading

(2013) Anil Misra et al.   Scientific Reports

A second gradient continuum model accounting for some effects of micro-structure on reconstructed bone remodelling

(2012) Angela Madeo et al.   COMPTES RENDUS MECANIQUE

A force-based coupling scheme for peridynamics and classical elasticity

(2012) Pablo Seleson et al.   COMPUTATIONAL MATERIALS SCIENCE

The effect of fluid streams in porous media on acoustic compression wave propagation, transmission, and reflection

(2012) A. Madeo et al.   CONTINUUM MECHANICS AND THERMODYNAMICS

Micromechanical model for viscoelastic materials undergoing damage

(2012) Anil Misra et al.   CONTINUUM MECHANICS AND THERMODYNAMICS

Micromechanics based second gradient continuum theory for shear band modeling in cohesive granular materials following damage elasticity

(2012) Yang Yang et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

Effects of the local resonance on the wave propagation in periodic frame structures: Generalized Newtonian mechanics

(2012) Céline Chesnais et al.   JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA

Micro-to-macro transitions for heterogeneous material layers accounting for in-plane stretch

(2012) A. McBride et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS

(2012) QIANG DU et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Existence of weak solutions in elasticity

(2012) Victor A Eremeyev et al.   MATHEMATICS AND MECHANICS OF SOLIDS

Non-local dynamic behavior of linear fiber reinforced materials

(2012) Jean Soubestre et al.   MECHANICS OF MATERIALS

How contact interactions may depend on the shape of Cauchy cuts in Nth gradient continua: approach “à la D’Alembert”

(2012) Francesco dell’Isola et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

A continuum model for the bio-mechanical interactions between living tissue and bio-resorbable graft after bone reconstructive surgery

(2011) Angela Madeo et al.   COMPTES RENDUS MECANIQUE

The principle of virtual power: from eliminating metaphysical forces to providing an efficient modelling tool

(2011) Gérard A. Maugin   CONTINUUM MECHANICS AND THERMODYNAMICS

Geometrically nonlinear continuum thermomechanics with surface energies coupled to diffusion

(2011) A.T. McBride et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

Thermomechanics of shells undergoing phase transition

(2011) V.A. Eremeyev et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

Dissipation in a finite-size bath

(2011) A. Carcaterra et al.   PHYSICAL REVIEW E

First vs. second gradient of strain theory for capillarity effects in an elastic fluid at small length scales

(2010) S. Forest et al.   COMPUTATIONAL MATERIALS SCIENCE

Propagation of acoustic waves in porous media and their reflection and transmission at a pure-fluid/porous-medium permeable interface

(2010) A. Madeo et al.   EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

The mechanically-based approach to 3D non-local linear elasticity theory: Long-range central interactions

(2010) Mario Di Paola et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

Micromechanical model for cohesive materials based upon pseudo-granular structure

(2010) Anil Misra et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

Mechanically-based approach to non-local elasticity: Variational principles

(2009) M. Di Paola et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

A Concise Derivation of Membrane Theory from Three-Dimensional Nonlinear Elasticity

(2009) David J. Steigmann   JOURNAL OF ELASTICITY

Micromorphic Approach for Gradient Elasticity, Viscoplasticity, and Damage

(2009) Samuel Forest   JOURNAL OF ENGINEERING MECHANICS

Generalized Hooke's law for isotropic second gradient materials

(2009) F. dell'Isola et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

A new paradigm: the linear isotropic Cosserat model with conformally invariant curvature energy

(2009) P. Neff et al.   ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik

Implementing peridynamics within a molecular dynamics code

(2008) Michael L. Parks et al.   COMPUTER PHYSICS COMMUNICATIONS

On the effect of twist angle on nonlinear galloping of suspended cables

(2008) Angelo Luongo et al.   COMPUTERS & STRUCTURES

Convergence of Peridynamics to Classical Elasticity Theory

(2008) S. A. Silling et al.   JOURNAL OF ELASTICITY

On boundary potential energies in deformational and configurational mechanics

(2007) Paul Steinmann   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

Force flux and the peridynamic stress tensor

(2007) R LEHOUCQ et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

Lattice models of polycrystalline microstructures: A quantitative approach

(2007) Antonio Rinaldi et al.   MECHANICS OF MATERIALS