Citations (51)
Keep up to date with the latest research on this topic with citation updates for this article.
Articles from other publishers (51)
Gordon Kumar & Laurence Brassart. (2023) On tube models of rubber elasticity: fitting performance in relation to sensitivity to the invariant I2. Mechanics of Soft Materials 5:1.
Crossref
Crossref
Maximilian P. Wollner, Michele Terzano, Malte Rolf-Pissarczyk & Gerhard A. Holzapfel. (2023) A general model for anisotropic pseudo-elasticity and viscoelasticity at finite strains. Journal of the Mechanics and Physics of Solids 180, pages 105403.
Crossref
Crossref
Ben R. Britt & Alexander E. Ehret. (2023) Univariate Gauss quadrature for structural modelling of tissues and materials with distributed fibres. Computer Methods in Applied Mechanics and Engineering 415, pages 116281.
Crossref
Crossref
Jason Mulderrig, Brandon Talamini & Nikolaos Bouklas. (2023) A statistical mechanics framework for polymer chain scission, based on the concepts of distorted bond potential and asymptotic matching. Journal of the Mechanics and Physics of Solids 174, pages 105244.
Crossref
Crossref
Prajwal Kammardi Arunachala, Sina Abrari Vajari, Matthias Neuner & Christian Linder. (2023) A multiscale phase field fracture approach based on the non-affine microsphere model for rubber-like materials. Computer Methods in Applied Mechanics and Engineering 410, pages 115982.
Crossref
Crossref
Lin Zhan, Siyu Wang, Shaoxing Qu, Paul Steinmann & Rui Xiao. (2023) A new micro–macro transition for hyperelastic materials. Journal of the Mechanics and Physics of Solids 171, pages 105156.
Crossref
Crossref
A. E. Ehret & A. Stracuzzi. (2022) Variations on Ogden’s model: close and distant relatives. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 380:2234.
Crossref
Crossref
Ben R. Britt & Alexander E. Ehret. (2022) Constitutive modelling of fibre networks with stretch distributions. Part I: Theory and illustration. Journal of the Mechanics and Physics of Solids 167, pages 104960.
Crossref
Crossref
Catalin R. Picu. 2022. Network Materials. Network Materials
252
277
.
Christian Bleiler & Oliver Röhrle. (2022) Strain Measures and Energies for Crimped Fibres and Novel Analytical Expressions for Fibre Populations: Ingredients for Structural Fibre Network Models. Journal of Elasticity 150:2, pages 401-448.
Crossref
Crossref
М. М. Тkachuk. (2022) Elastic Homogenization of Materials with Composite Network Structures. Journal of Mathematical Sciences 263:1, pages 104-119.
Crossref
Crossref
Shiming Shen, Danming Zhong, Shaoxing Qu & Rui Xiao. (2022) A hyperelastic-damage model based on the strain invariants. Extreme Mechanics Letters 52, pages 101641.
Crossref
Crossref
E.C. Bryant, K.C. Bennett, N.A. Miller & A. Misra. (2022) Multiscale plasticity of geomaterials predicted via constrained optimization‐based granular micromechanics. International Journal for Numerical and Analytical Methods in Geomechanics 46:4, pages 739-778.
Crossref
Crossref
Prajwal Kammardi Arunachala, Reza Rastak & Christian Linder. (2021) Energy based fracture initiation criterion for strain-crystallizing rubber-like materials with pre-existing cracks. Journal of the Mechanics and Physics of Solids 157, pages 104617.
Crossref
Crossref
Jason Mulderrig, Bin Li & Nikolaos Bouklas. (2021) Affine and non-affine microsphere models for chain scission in polydisperse elastomer networks. Mechanics of Materials 160, pages 103857.
Crossref
Crossref
Qiang Guo & Fahmi Zaïri. (2021) A micromechanics-based model for deformation-induced damage and failure in elastomeric media. International Journal of Plasticity 140, pages 102976.
Crossref
Crossref
Patrick Le Tallec & Julie Diani. (2020) Variational upscaling for modeling state of strain-dependent behavior and stress-induced crystallization in rubber-like materials. Continuum Mechanics and Thermodynamics 33:3, pages 749-766.
Crossref
Crossref
Rui Xiao, Thanh-Tam Mai, Kenji Urayama, Jian Ping Gong & Shaoxing Qu. (2021) Micromechanical modeling of the multi-axial deformation behavior in double network hydrogels. International Journal of Plasticity 137, pages 102901.
Crossref
Crossref
Michael R. Buche & Meredith N. Silberstein. (2020) Statistical mechanical constitutive theory of polymer networks: The inextricable links between distribution, behavior, and ensemble. Physical Review E 102:1.
Crossref
Crossref
Marco Cicalese, Antoine Gloria & Matthias Ruf. (2020) From Statistical Polymer Physics to Nonlinear Elasticity. Archive for Rational Mechanics and Analysis 236:2, pages 1127-1215.
Crossref
Crossref
Mykola M. Tkachuk, Andriy Grabovskiy, Mykola Tkachuk A., Iryna Hrechka, Olga Ishchenko & Natalia Domina. (2019) Investigation of multiple contact interaction of elements of shearing dies. Eastern-European Journal of Enterprise Technologies 4:7 (100), pages 6-15.
Crossref
Crossref
Sanjay Govindjee, Miklos J. Zoller & Klaus Hackl. (2019) A fully-relaxed variationally-consistent framework for inelastic micro-sphere models: Finite viscoelasticity. Journal of the Mechanics and Physics of Solids 127, pages 1-19.
Crossref
Crossref
J. Diani & P. Le Tallec. (2019) A fully equilibrated microsphere model with damage for rubberlike materials. Journal of the Mechanics and Physics of Solids 124, pages 702-713.
Crossref
Crossref
Naigeng Chen & Meredith N. Silberstein. (2019) A micromechanics-based damage model for non-woven fiber networks. International Journal of Solids and Structures 160, pages 18-31.
Crossref
Crossref
Reza Rastak & Christian Linder. (2018) A non-affine micro-macro approach to strain-crystallizing rubber-like materials. Journal of the Mechanics and Physics of Solids 111, pages 67-99.
Crossref
Crossref
Ali Javili, Paul Steinmann & Jörn Mosler. (2017) Micro-to-macro transition accounting for general imperfect interfaces. Computer Methods in Applied Mechanics and Engineering 317, pages 274-317.
Crossref
Crossref
Berkin Dortdivanlioglu, Ali Javili & Christian Linder. (2017) Computational aspects of morphological instabilities using isogeometric analysis. Computer Methods in Applied Mechanics and Engineering 316, pages 261-279.
Crossref
Crossref
L.A. Spyrou, M. Agoras & K. Danas. (2017) A homogenization model of the Voigt type for skeletal muscle. Journal of Theoretical Biology 414, pages 50-61.
Crossref
Crossref
A. Javili, S. Saeb & P. Steinmann. (2016) Aspects of implementing constant traction boundary conditions in computational homogenization via semi-Dirichlet boundary conditions. Computational Mechanics 59:1, pages 21-35.
Crossref
Crossref
F. Martínez-Hergueta, A. Ridruejo, C. González & J. LLorca. (2016) A multiscale micromechanical model of needlepunched nonwoven fabrics. International Journal of Solids and Structures 96, pages 81-91.
Crossref
Crossref
J D Davidson & N C Goulbourne. (2016) Nonaffine chain and primitive path deformation in crosslinked polymers. Modelling and Simulation in Materials Science and Engineering 24:6, pages 065002.
Crossref
Crossref
Andreas Krischok & Christian Linder. (2016) On the enhancement of low-order mixed finite element methods for the large deformation analysis of diffusion in solids. International Journal for Numerical Methods in Engineering 106:4, pages 278-297.
Crossref
Crossref
Ehsan Ban, Victor H. Barocas, Mark S. Shephard & R. Catalin Picu. (2016) Softening in random networks of non-identical beams. Journal of the Mechanics and Physics of Solids 87, pages 38-50.
Crossref
Crossref
Emma Lejeune, Ali Javili, Johannes Weickenmeier, Ellen Kuhl & Christian Linder. (2016) Tri-layer wrinkling as a mechanism for anchoring center initiation in the developing cerebellum. Soft Matter 12:25, pages 5613-5620.
Crossref
Crossref
Arun Raina & Christian Linder. (2015) A micromechanical model with strong discontinuities for failure in nonwovens at finite deformations. International Journal of Solids and Structures 75-76, pages 247-259.
Crossref
Crossref
Erwan Verron. (2015) Questioning numerical integration methods for microsphere (and microplane) constitutive equations. Mechanics of Materials 89, pages 216-228.
Crossref
Crossref
A. Javili, B. Dortdivanlioglu, E. Kuhl & C. Linder. (2015) Computational aspects of growth-induced instabilities through eigenvalue analysis. Computational Mechanics 56:3, pages 405-420.
Crossref
Crossref
Andreas Krischok, Mykola Tkachuk & Christian Linder. (2014) A thermodynamically consistent and numerically stable formulation for the description of diffusion in polymeric gels. PAMM 14:1, pages 487-488.
Crossref
Crossref
Alexander E. Ehret, Ray W. Ogden & Edoardo Mazza. (2014) Non‐affine strain measures for continuum models of network materials. PAMM 14:1, pages 435-436.
Crossref
Crossref
Arun Raina & Christian Linder. (2014) Failure in anisotropic nonwoven materials at finite deformation. PAMM 14:1, pages 377-378.
Crossref
Crossref
Gerhard A. Holzapfel, Michael J. Unterberger & Ray W. Ogden. (2014) An affine continuum mechanical model for cross-linked F-actin networks with compliant linker proteins. Journal of the Mechanical Behavior of Biomedical Materials 38, pages 78-90.
Crossref
Crossref
Marcus G Schmidt, Roger A Sauer & Ahmed E Ismail. (2014) Multiscale treatment of mechanical contact problems involving thin polymeric layers. Modelling and Simulation in Materials Science and Engineering 22:4, pages 045012.
Crossref
Crossref
Christian Linder & Xiaoxuan Zhang. (2014) Three-dimensional finite elements with embedded strong discontinuities to model failure in electromechanical coupled materials. Computer Methods in Applied Mechanics and Engineering 273, pages 143-160.
Crossref
Crossref
Arun Raina & Christian Linder. (2014) A homogenization approach for nonwoven materials based on fiber undulations and reorientation. Journal of the Mechanics and Physics of Solids 65, pages 12-34.
Crossref
Crossref
Arun Raina & Christian Linder. (2013) Modeling reorientation phenomena in nonwoven materials with random fiber network microstructure. PAMM 13:1, pages 249-250.
Crossref
Crossref
Christian Linder & Xiaoxuan Zhang. (2013) A marching cubes based failure surface propagation concept for three-dimensional finite elements with non-planar embedded strong discontinuities of higher-order kinematics. International Journal for Numerical Methods in Engineering 96:6, pages 339-372.
Crossref
Crossref
Volker Schauer & Christian Linder. (2013) All-electron Kohn–Sham density functional theory on hierarchic finite element spaces. Journal of Computational Physics 250, pages 644-664.
Crossref
Crossref
Michael J. Unterberger, Kurt M. Schmoller, Christine Wurm, Andreas R. Bausch & Gerhard A. Holzapfel. (2013) Viscoelasticity of cross-linked actin networks: Experimental tests, mechanical modeling and finite-element analysis. Acta Biomaterialia 9:7, pages 7343-7353.
Crossref
Crossref
Michael J. Unterberger, Kurt M. Schmoller, Andreas R. Bausch & Gerhard A. Holzapfel. (2013) A new approach to model cross-linked actin networks: Multi-scale continuum formulation and computational analysis. Journal of the Mechanical Behavior of Biomedical Materials 22, pages 95-114.
Crossref
Crossref
Thomas Heidlauf & Oliver Röhrle. (2013) Modeling the Chemoelectromechanical Behavior of Skeletal Muscle Using the Parallel Open-Source Software Library OpenCMISS. Computational and Mathematical Methods in Medicine 2013, pages 1-14.
Crossref
Crossref
Mykola Tkachuk & Christian Linder. (2012) Homogenization of random elastic networks with non‐affine kinematics. PAMM 12:1, pages 417-418.
Crossref
Crossref