Related references
Note: Only part of the references are listed.On the direct and reverse multiplicative decompositions of deformation gradient in nonlinear anisotropic anelasticity
Arash Yavari et al.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2023)
An action for nonlinear dislocation dynamics
Amit Acharya
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2022)
Development of mean-field continuum dislocation kinematics with junction reactions using de Rham currents and graph theory
Kyle Starkey et al.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2022)
The mathematical foundations of anelasticity: existence of smooth global intermediate configurations
Christian Goodbrake et al.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2021)
On Nye's lattice curvature tensor
Fabio Sozio et al.
MECHANICS RESEARCH COMMUNICATIONS (2021)
Riemannian and Euclidean material structures in anelasticity
Fabio Sozio et al.
MATHEMATICS AND MECHANICS OF SOLIDS (2020)
On the equilibrium of multiply-connected elastic bodies
D. H. Delphenich
MATHEMATICS AND MECHANICS OF SOLIDS (2020)
Nonlinear mechanics of accretion
Fabio Sozio et al.
JOURNAL OF NONLINEAR SCIENCE (2019)
Peierls stresses estimated via the Peierls-Nabarro model using ab-initio γ-surface and their comparison with experiments
Y. Kamimura et al.
ACTA MATERIALIA (2018)
Line and point defects in nonlinear anisotropic solids
Ashkan Golgoon et al.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2018)
Non-Schmid effects and finite wavelength instabilities in single crystal metals
Hossein Salahshoor et al.
EXTREME MECHANICS LETTERS (2018)
On the origins of the idea of the multiplicative decomposition of the deformation gradient
Souhayl Sadik et al.
MATHEMATICS AND MECHANICS OF SOLIDS (2017)
On the two-potential constitutive modeling of rubber viscoelastic materials
Aditya Kumar et al.
COMPTES RENDUS MECANIQUE (2016)
Nonlinear Elasticity in a Deforming Ambient Space
Arash Yavari et al.
JOURNAL OF NONLINEAR SCIENCE (2016)
Thermodynamically consistent continuum dislocation dynamics
Thomas Hochrainer
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2016)
On the wedge dispiration in an inhomogeneous isotropic nonlinear elastic solid
Arash Yavari
MECHANICS RESEARCH COMMUNICATIONS (2016)
Small-on-large geometric anelasticity
Souhayl Sadik et al.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2016)
Metric Description of Singular Defects in Isotropic Materials
Raz Kupferman et al.
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2015)
On the Geometry and Kinematics of Smoothly Distributed and Singular Defects
Marcelo Epstein et al.
DIFFERENTIAL GEOMETRY AND CONTINUUM MECHANICS (2015)
A preliminary investigation of dislocation cell structure formation in metals using continuum dislocation dynamics
S. X. Xia et al.
36TH RISO INTERNATIONAL SYMPOSIUM ON MATERIALS SCIENCE (2015)
Conservation of Energy and Momenta in Nonholonomic Systems with Affine Constraints
Francesco Fasso et al.
REGULAR & CHAOTIC DYNAMICS (2015)
The principle of the minimum of the dissipation potential for non-isothermal processes
Philipp Junker et al.
CONTINUUM MECHANICS AND THERMODYNAMICS (2014)
Geometric theory of smooth and singular defects
Marcelo Epstein et al.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS (2014)
A variational formulation of constrained dislocation dynamics coupled with heat and vacancy diffusion
Giacomo Po et al.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2014)
Geometric aspects of singular dislocations
Marcelo Epstein et al.
MATHEMATICS AND MECHANICS OF SOLIDS (2014)
Affine development of closed curves in Weitzenbock manifolds and the Burgers vector of dislocation mechanics
Arkadas Ozakin et al.
MATHEMATICS AND MECHANICS OF SOLIDS (2014)
Plasticity and non-Schmid effects
Stefan C. Soare
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2014)
The geometry of discombinations and its applications to semi-inverse problems in anelasticity
Arash Yavari et al.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2014)
Compatibility Equations of Nonlinear Elasticity for Non-Simply-Connected Bodies
Arash Yavari
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2013)
Dislocation motion and instability
Yichao Zhu et al.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2013)
Riemann-Cartan geometry of nonlinear disclination mechanics
Arash Yavari et al.
MATHEMATICS AND MECHANICS OF SOLIDS (2013)
Riemann-Cartan Geometry of Nonlinear Dislocation Mechanics
Arash Yavari et al.
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2012)
Weyl geometry and the nonlinear mechanics of distributed point defects
Arash Yavari et al.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2012)
Statistical characterization of dislocation ensembles
A. El-Azab et al.
PHILOSOPHICAL MAGAZINE (2007)
A three-dimensional continuum theory of dislocation systems: kinematics and mean-field formulation
T. Hochrainer et al.
PHILOSOPHICAL MAGAZINE (2007)
Continuum theory of evolving dislocation fields
R. Sedlacek et al.
PHILOSOPHICAL MAGAZINE (2007)
A geometric framework for the kinematics of crystals with defects
JD Clayton et al.
PHILOSOPHICAL MAGAZINE (2005)
Spatial correlations and higher-order gradient terms in a continuum description of dislocation dynamics
I Groma et al.
ACTA MATERIALIA (2003)
Two-parameter nonlinear spacetime perturbations: gauge transformations and gauge invariance
M Bruni et al.
CLASSICAL AND QUANTUM GRAVITY (2003)
The importance of being curved: bowing dislocations in a continuum description
R Sedlacek et al.
PHILOSOPHICAL MAGAZINE (2003)
A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations
ME Gurtin
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2002)
On the characterization of geometrically necessary dislocations in finite plasticity
P Cermelli et al.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2001)
A model of crystal plasticity based on the theory of continuously distributed dislocations
A Acharya
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2001)
Statistical mechanics treatment of the evolution of dislocation distributions in single crystals
A El-Azab
PHYSICAL REVIEW B (2000)
Eshelby's stress tensors in finite elastoplasticity
S Cleja-Tigoiu et al.
ACTA MECHANICA (2000)