The postulationsá la D’Alembertandá la Cauchyfor higher gradient continuum theories are equivalent: a review of existing results

Macroscopic Description of Microscopically Strongly Inhomogenous Systems: A Mathematical Basis for the Synthesis of Higher Gradients Metamaterials

(2015) A. Carcaterra et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Continuum and discrete models for structures including (quasi-) inextensible elasticae with a view to the design and modeling of composite reinforcements

(2015) M.V. d’Agostino et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

On the contribution of Angelo Luongo to Mechanics: in honor of his 60th birthday

(2014) Giuseppe Piccardo et al.   CONTINUUM MECHANICS AND THERMODYNAMICS

A variational approach for a nonlinear 1-dimensional second gradient continuum damage model

(2014) Luca Placidi   CONTINUUM MECHANICS AND THERMODYNAMICS

A simple non-linear model for internal friction in modified concrete

(2014) Daria Scerrato et al.   INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

Dynamic problems for metamaterials: Review of existing models and ideas for further research

(2014) Dionisio Del Vescovo et al.   INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

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

(2014) Francesco dell’Isola et al.   MATHEMATICS AND MECHANICS OF SOLIDS

An implicit multi patch B-spline interpolation for Kirchhoff–Love space rod

(2013) L. Greco et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Second-gradient models accounting for some effects of microstructure on remodelling of bones reconstructed with bioresorbable materials

(2013) A. Madeo et al.   COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING

A unifying perspective: the relaxed linear micromorphic continuum

(2013) Patrizio Neff et al.   CONTINUUM MECHANICS AND THERMODYNAMICS

Double zero bifurcation of non-linear viscoelastic beams under conservative and non-conservative loads

(2013) A. Luongo et al.   INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

Wave propagation and non-local effects in periodic frame materials: Generalized continuum mechanics

(2013) Céline Chesnais et al.   MATHEMATICS AND MECHANICS OF SOLIDS

Analytical continuum mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary fluids

(2013) N Auffray et al.   MATHEMATICS AND MECHANICS OF SOLIDS

Equilibrium of a second-gradient fluid and an elastic solid with surface stresses

(2013) Victor A. Eremeyev et al.   MECCANICA

Towards the Design of Metamaterials with Enhanced Damage Sensitivity: Second Gradient Porous Materials

(2013) Angela Madeo et al.   RESEARCH IN NONDESTRUCTIVE EVALUATION

Modeling the onset of shear boundary layers in fibrous composite reinforcements by second-gradient theory

(2013) Manuel Ferretti et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

B-Spline interpolation of Kirchhoff-Love space rods

(2012) L. Greco et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Soft-impact dynamics of deformable bodies

(2012) Ugo Andreaus et al.   CONTINUUM MECHANICS AND THERMODYNAMICS

Surface viscoelasticity and effective properties of thin-walled structures at the nanoscale

(2012) Holm Altenbach et al.   INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

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

Existence of weak solutions in elasticity

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

The multiple nature of concentrated interactions in second-gradient dissipative liquids

(2012) Giulio G. Giusteri   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

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

On the “principle of virtual power” for arbitrary parts of a body

(2011) R. Fosdick   CONTINUUM MECHANICS AND THERMODYNAMICS

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

(2011) Gérard A. Maugin   CONTINUUM MECHANICS AND THERMODYNAMICS

Micropolar continuum mechanics of fractal media

(2011) Jun Li et al.   INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

On the shell theory on the nanoscale with surface stresses

(2011) Holm Altenbach et al.   INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

Bifurcation and stability of a two-tower system under wind-induced parametric, external and self-excitation

(2011) Daniele Zulli et al.   JOURNAL OF SOUND AND VIBRATION

Thermomechanics of shells undergoing phase transition

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

Criterion of hyperbolicity for non-conservative quasilinear systems admitting a partially convex conservation law

(2011) A. Forestier et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Observations concerning virtual power

(2011) Roger Fosdick   MATHEMATICS AND MECHANICS OF SOLIDS

Elasticity and permeability of porous fibre-reinforced materials under large deformations

(2011) Salvatore Federico et al.   MECHANICS OF MATERIALS

Multiscale modeling of elastic properties of cortical bone

(2010) Elham Hamed et al.   ACTA MECHANICA

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

“Hypertractions and hyperstresses convey the same mechanical information Continuum Mech. Thermodyn. (2010) 22:163–176” by Prof. Podio Guidugli and Prof. Vianello and some related papers on higher gradient theories

(2010) Francesco dell’Isola et al.   CONTINUUM MECHANICS AND THERMODYNAMICS

Hypertractions and hyperstresses convey the same mechanical information

(2010) Paolo Podio-Guidugli et al.   CONTINUUM MECHANICS AND THERMODYNAMICS

Revisiting Energy Release Rates in Brittle Fracture

(2010) Antonin Chambolle et al.   JOURNAL OF NONLINEAR SCIENCE

A virtual power format for thermomechanics

(2009) Paolo Podio-Guidugli   CONTINUUM MECHANICS AND THERMODYNAMICS

A variational deduction of second gradient poroelasticity I: general theory

(2009) Giulio Sciarra et al.   Journal of Mechanics of Materials and Structures

Fatigue crack growth, free vibrations, and breathing crack detection of aluminium alloy and steel beams

(2009) U Andreaus et al.   JOURNAL OF STRAIN ANALYSIS FOR ENGINEERING DESIGN

When and how do cracks propagate?

(2009) A. Chambolle et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

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

On natural strain measures of the non-linear micropolar continuum

(2008) W. Pietraszkiewicz et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

Thermodynamics applied to gradient theories involving the accumulated plastic strain: The theories of Aifantis and Fleck and Hutchinson and their generalization

(2008) Morton E. Gurtin et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

On boundary potential energies in deformational and configurational mechanics

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