Ground states in complex bodies
ESAIM: COCV, 15 2 (2009) 377-402
Published online: 2008-05-30
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Foundational issues, analysis and geometry in continuum mechanics: introduction
Paolo Maria Mariano and Anja SchlömerkemperPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 381 (2263) (2023)
https://doi.org/10.1098/rsta.2022.0376
A discrete-to-continuum model of protein complexes
Paolo Maria Mariano and Marco BacciBiomechanics and Modeling in Mechanobiology 21 (3) 871 (2022)
https://doi.org/10.1007/s10237-022-01564-7
Energy Decay in the Dynamics of Complex Bodies with Spreading Microstructures Represented by $3D$ Vectors
Diego Berti, Luca Bisconti and Paolo Maria MarianoJournal of Elasticity (2022)
https://doi.org/10.1007/s10659-022-09921-4
Homogenization of Complex Lattices for Metamaterials: Open Problems and Conjectures
Paolo Maria MarianoCrystals 12 (5) 612 (2022)
https://doi.org/10.3390/cryst12050612
Micro‐to‐macro interactions in complex bodies: Wavelet‐based post‐processing detection
Anna Bosi, Paolo Maria Mariano and Luca SalvatoriMathematical Methods in the Applied Sciences 44 (13) 10541 (2021)
https://doi.org/10.1002/mma.7429
Linearized elasticity as Mosco limit of finite elasticity in the presence of cracks
Pascal Gussmann and Alexander MielkeAdvances in Calculus of Variations 13 (1) 33 (2020)
https://doi.org/10.1515/acv-2017-0010
Finite-speed heat propagation as a consequence of microstructural changes
Paolo Maria MarianoContinuum Mechanics and Thermodynamics 29 (6) 1241 (2017)
https://doi.org/10.1007/s00161-017-0577-7
Existence Results in The Linear Dynamics of Quasicrystals with Phason Diffusion and Nonlinear Gyroscopic Effects
Luca Bisconti and Paolo Maria MarianoMultiscale Modeling & Simulation 15 (2) 745 (2017)
https://doi.org/10.1137/15M1049580
Second‐neighbor interactions in classical field theories: invariance of the relative power and covariance
Paolo Maria MarianoMathematical Methods in the Applied Sciences 40 (4) 1316 (2017)
https://doi.org/10.1002/mma.4057
Transparent anisotropy for the relaxed micromorphic model: Macroscopic consistency conditions and long wave length asymptotics
Gabriele Barbagallo, Angela Madeo, Marco Valerio d’Agostino, et al.International Journal of Solids and Structures 120 7 (2017)
https://doi.org/10.1016/j.ijsolstr.2017.01.030
Integrability conditions between the first and second Cosserat deformation tensor in geometrically nonlinear micropolar models and existence of minimizers
Johannes Lankeit, Patrizio Neff and Frank OsterbrinkZeitschrift für angewandte Mathematik und Physik 68 (1) (2017)
https://doi.org/10.1007/s00033-016-0755-7
Continuous Media with Microstructure 2
Paolo Maria MarianoContinuous Media with Microstructure 2 53 (2016)
https://doi.org/10.1007/978-3-319-28241-1_5
Trends and challenges in the mechanics of complex materials: a view
Paolo Maria MarianoPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 374 (2066) 20150341 (2016)
https://doi.org/10.1098/rsta.2015.0341
The relaxed linear micromorphic continuum: Existence, uniqueness and continuous dependence in dynamics
Ionel-Dumitrel Ghiba, Patrizio Neff, Angela Madeo, Luca Placidi and Giuseppe RosiMathematics and Mechanics of Solids 20 (10) 1171 (2015)
https://doi.org/10.1177/1081286513516972
Multi-Value Microstructural Descriptors for Complex Materials: Analysis of Ground States
Matteo Focardi, Paolo Maria Mariano and Emanuele SpadaroArchive for Rational Mechanics and Analysis 217 (3) 899 (2015)
https://doi.org/10.1007/s00205-015-0846-1
Rate-Independent Systems
Alexander Mielke and Tomàš RoubíčekApplied Mathematical Sciences, Rate-Independent Systems 193 235 (2015)
https://doi.org/10.1007/978-1-4939-2706-7_4
Reynolds transport theorem for smooth deformations of currents on manifolds
Lior Falach and Reuven SegevMathematics and Mechanics of Solids 20 (6) 770 (2015)
https://doi.org/10.1177/1081286514551503
Existence Theorem for Geometrically Nonlinear Cosserat Micropolar Model Under Uniform Convexity Requirements
Patrizio Neff, Mircea Bîrsan and Frank OsterbrinkJournal of Elasticity 121 (1) 119 (2015)
https://doi.org/10.1007/s10659-015-9517-6
Advances in Applied Mechanics
Paolo Maria MarianoAdvances in Applied Mechanics 47 1 (2014)
https://doi.org/10.1016/B978-0-12-800130-1.00001-1
A unifying perspective: the relaxed linear micromorphic continuum
Patrizio Neff, Ionel-Dumitrel Ghiba, Angela Madeo, Luca Placidi and Giuseppe RosiContinuum Mechanics and Thermodynamics 26 (5) 639 (2014)
https://doi.org/10.1007/s00161-013-0322-9
Linearized Elasticity as Γ‐Limit of Finite Elasticity in the Case of Cracks
Pascal GussmannPAMM 13 (1) 351 (2013)
https://doi.org/10.1002/pamm.201310171
Phason self-actions in quasicrystals
Paolo Maria Mariano and Jaime PlanasPhysica D: Nonlinear Phenomena 249 46 (2013)
https://doi.org/10.1016/j.physd.2013.01.006
An intrinsic approach to manifold constrained variational problems
Matteo Focardi and Emanuele SpadaroAnnali di Matematica Pura ed Applicata 192 (1) 145 (2013)
https://doi.org/10.1007/s10231-011-0216-z
Dynamic steady-state crack propagation in quasi-crystals
Enrico Radi and Paolo Maria MarianoMathematical Methods in the Applied Sciences 34 (1) 1 (2011)
https://doi.org/10.1002/mma.1325
Methods and Tastes in Modern Continuum Mechanics
Reuven Segev and Lior FalachMethods and Tastes in Modern Continuum Mechanics 607 (2011)
https://doi.org/10.1007/978-94-007-1884-5_37
Velocities, Stresses and Vector Bundle Valued Chains
Reuven Segev and Lior FalachJournal of Elasticity 105 (1-2) 187 (2011)
https://doi.org/10.1007/s10659-011-9316-7
The standard description of quasicrystal linear elasticity may produce non-physical results
Sergia Colli and Paolo Maria MarianoPhysics Letters A 375 (38) 3335 (2011)
https://doi.org/10.1016/j.physleta.2011.07.043
Relaxation Theorem and Lower-Dimensional Models in Micropolar Elasticity
Igor Velčić and Josip TambačaMathematics and Mechanics of Solids 15 (8) 812 (2010)
https://doi.org/10.1177/1081286509342270
Existence theorem for nonlinear micropolar elasticity
Josip Tambača and Igor VelčićESAIM: Control, Optimisation and Calculus of Variations 16 (1) 92 (2010)
https://doi.org/10.1051/cocv:2008065
Spin field topological linear defects in quasicrystals with magnetic order
Paolo Maria MarianoPhysics Letters A 375 (2) 80 (2010)
https://doi.org/10.1016/j.physleta.2010.10.060
Semicontinuity theorem in the micropolar elasticity
Josip Tambača and Igor VelčićESAIM: Control, Optimisation and Calculus of Variations 16 (2) 337 (2010)
https://doi.org/10.1051/cocv/2009002
Simple shear in nonlinear Cosserat elasticity: bifurcation and induced microstructure
Patrizio Neff and Ingo MünchContinuum Mechanics and Thermodynamics 21 (3) 195 (2009)
https://doi.org/10.1007/s00161-009-0105-5
A new paradigm: the linear isotropic Cosserat model with conformally invariant curvature energy
P. Neff and J. JeongZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 89 (2) 107 (2009)
https://doi.org/10.1002/zamm.200800156
Global Existence for Rate-Independent Gradient Plasticity at Finite Strain
Andreas Mainik and Alexander MielkeJournal of Nonlinear Science 19 (3) 221 (2009)
https://doi.org/10.1007/s00332-008-9033-y