An improved stabilized peridynamic correspondence material model for the crack propagation of nearly incompressible hyperelastic materials

[1]  Hongwu W. Zhang,et al.  Explicit phase-field total Lagrangian material point method for the dynamic fracture of hyperelastic materials , 2022, Computer Methods in Applied Mechanics and Engineering.

[2]  A. Araújo,et al.  On the role of bond-associated stabilization and discretization on deformation and fracture in non-ordinary state-based peridynamics , 2022, Engineering Fracture Mechanics.

[3]  M. Paggi,et al.  A combined phase-field and cohesive zone model approach for crack propagation in layered structures made of nonlinear rubber-like materials , 2022, Computer Methods in Applied Mechanics and Engineering.

[4]  R. Korhonen,et al.  Crack propagation in articular cartilage under cyclic loading using cohesive finite element modeling. , 2022, Journal of the mechanical behavior of biomedical materials.

[5]  Hongwu W. Zhang,et al.  Time-discontinuous state-based peridynamics for elasto-plastic dynamic fracture problems , 2022, Engineering Fracture Mechanics.

[6]  Hongwu W. Zhang,et al.  Phase-field implicit material point method with the convected particle domain interpolation for brittle–ductile failure transition in geomaterials involving finite deformation , 2022, Computer Methods in Applied Mechanics and Engineering.

[7]  Jianxun Zhang,et al.  Plastic behavior of slender circular metal foam-filled tubes under transverse loading , 2022, Thin-Walled Structures.

[8]  J.G. Wang,et al.  Peridynamic simulation on hydraulic fracture propagation in shale formation , 2021, Engineering Fracture Mechanics.

[9]  Haitao Yu,et al.  A unified non-local fluid transport model for heterogeneous saturated porous media , 2021, Computer Methods in Applied Mechanics and Engineering.

[10]  Haitao Yu,et al.  Bridging the gap between local and nonlocal numerical methods—A unified variational framework for non-ordinary state-based peridynamics , 2021 .

[11]  Timon Rabczuk,et al.  A nonlocal operator method for finite deformation higher-order gradient elasticity , 2021 .

[12]  Shashank Menon,et al.  A stabilized computational nonlocal poromechanics model for dynamic analysis of saturated porous media , 2021, International Journal for Numerical Methods in Engineering.

[13]  E. Madenci,et al.  Peridynamic modeling of bonded-lap joints with viscoelastic adhesives in the presence of finite deformation , 2021 .

[14]  E. Elmukashfi An experimental method for estimating the tearing energy in rubber-like materials using the true stored energy , 2021, Scientific Reports.

[15]  C. Augarde,et al.  An implicit non-ordinary state-based peridynamics with stabilised correspondence material model for finite deformation analysis , 2020, Computer Methods in Applied Mechanics and Engineering.

[16]  E. Madenci,et al.  Peridynamic correspondence model for finite elastic deformation and rupture in Neo-Hookean materials , 2020 .

[17]  E. Madenci,et al.  Axisymmetric peridynamic analysis of crack deflection in a single strand ceramic matrix composite , 2020 .

[18]  Gerry L. Koons,et al.  Materials design for bone-tissue engineering , 2020, Nature Reviews Materials.

[19]  John T. Foster,et al.  A semi-Lagrangian constitutive correspondence framework for peridynamics , 2020 .

[20]  E. Madenci,et al.  Possible causes of numerical oscillations in non-ordinary state-based peridynamics and a bond-associated higher-order stabilized model , 2019 .

[21]  W. Becker,et al.  Nonlinear elastic finite fracture mechanics: Modeling mixed-mode crack nucleation in structural glazing silicone sealants , 2019, Materials & Design.

[22]  F. Bobaru,et al.  A peridynamic model for brittle damage and fracture in porous materials , 2019, International Journal of Rock Mechanics and Mining Sciences.

[23]  Erdogan Madenci,et al.  Weak form of bond-associated non-ordinary state-based peridynamics free of zero energy modes with uniform or non-uniform discretization , 2019, Engineering Fracture Mechanics.

[24]  W. Becker,et al.  Equivalent strain failure criterion for multiaxially loaded incompressible hyperelastic elastomers , 2019, International Journal of Solids and Structures.

[25]  Debasish Roy,et al.  A modified peridynamics correspondence principle: Removal of zero-energy deformation and other implications , 2019, Computer Methods in Applied Mechanics and Engineering.

[26]  Hui Liu,et al.  Improved method for zero-energy mode suppression in peridynamic correspondence model , 2019, Acta Mechanica Sinica.

[27]  Z. Suo,et al.  Stretchable materials of high toughness and low hysteresis , 2019, Proceedings of the National Academy of Sciences.

[28]  Hung Nguyen-Xuan,et al.  An extended polygonal finite element method for large deformation fracture analysis , 2019, Engineering Fracture Mechanics.

[29]  Benjamin W. Spencer,et al.  Peridynamic bond‐associated correspondence model: Stability and convergence properties , 2018, International Journal for Numerical Methods in Engineering.

[30]  Veera Sundararaghavan,et al.  Stress-point method for stabilizing zero-energy modes in non-ordinary state-based peridynamics , 2018, International Journal of Solids and Structures.

[31]  Z. Hao,et al.  A stabilized non-ordinary state-based peridynamic model , 2018, Computer Methods in Applied Mechanics and Engineering.

[32]  Shaoqiang Tang,et al.  Nonlocal matching boundary conditions for non-ordinary peridynamics with correspondence material model , 2018, Computer Methods in Applied Mechanics and Engineering.

[33]  Tetsuo Yamaguchi,et al.  Propagation of Fatigue Cracks in Friction of Brittle Hydrogels , 2018, Gels.

[34]  Hailong Chen,et al.  Bond-associated deformation gradients for peridynamic correspondence model , 2018, Mechanics Research Communications.

[35]  John T. Foster,et al.  A generalized, ordinary, finite deformation constitutive correspondence model for peridynamics , 2018, International Journal of Solids and Structures.

[36]  C. Odenbreit,et al.  Failure behaviour of silicone adhesive in bonded connections with simple geometry , 2017 .

[37]  Xiaoping Zhou,et al.  The modeling of crack propagation and coalescence in rocks under uniaxial compression using the novel conjugated bond-based peridynamics , 2017 .

[38]  A. Karma,et al.  Instability in dynamic fracture and the failure of the classical theory of cracks , 2017, Nature Physics.

[39]  Marco Paggi,et al.  Phase field modeling of brittle fracture for enhanced assumed strain shells at large deformations: formulation and finite element implementation , 2017, Computational Mechanics.

[40]  G. Deodatis,et al.  Stochastic analysis of polymer composites rupture at large deformations modeled by a phase field method , 2016 .

[41]  S. Silling Stability of peridynamic correspondence material models and their particle discretizations , 2016 .

[42]  S. Mohammadi,et al.  Finite strain fracture analysis using the extended finite element method with new set of enrichment functions , 2015 .

[43]  Yves Renard,et al.  The eXtended finite element method for cracked hyperelastic materials: A convergence study , 2014 .

[44]  Philippe H. Geubelle,et al.  Non-ordinary state-based peridynamic analysis of stationary crack problems , 2014 .

[45]  Esra Roan,et al.  Cohesive zone modeling of mode I tearing in thin soft materials. , 2013, Journal of the mechanical behavior of biomedical materials.

[46]  Julian J. Rimoli,et al.  An approach for incorporating classical continuum damage models in state-based peridynamics , 2013 .

[47]  J. Busfield,et al.  The effect of the rate of strain on tearing in rubber , 2011 .

[48]  Erdogan Madenci,et al.  An adaptive dynamic relaxation method for quasi-static simulations using the peridynamic theory , 2010 .

[49]  S. Silling,et al.  Viscoplasticity using peridynamics , 2010 .

[50]  Stewart Andrew Silling,et al.  Linearized Theory of Peridynamic States , 2010 .

[51]  V. Pinto,et al.  Evaluation of shock absorption properties of rubber materials regarding footwear applications , 2009 .

[52]  T. L. Warren,et al.  A non-ordinary state-based peridynamic method to model solid material deformation and fracture , 2009 .

[53]  Kwang S. Kim,et al.  Large-scale pattern growth of graphene films for stretchable transparent electrodes , 2009, Nature.

[54]  Richard B. Lehoucq,et al.  Force flux and the peridynamic stress tensor , 2008 .

[55]  S. Silling,et al.  Peridynamic States and Constitutive Modeling , 2007 .

[56]  Nicolas Sau,et al.  Peridynamic modeling of concrete structures , 2007 .

[57]  J. Karger‐Kocsis,et al.  In-plane and Out-of-plane Fracture Toughness of Physically Aged Polyesters as Assessed by the Essential Work of Fracture (EWF) Method , 2005 .

[58]  S. Silling,et al.  A meshfree method based on the peridynamic model of solid mechanics , 2005 .

[59]  V. Tomar,et al.  Bounds for element size in a variable stiffness cohesive finite element model , 2004 .

[60]  R. Rivlin,et al.  Rupture of rubber. I. Characteristic energy for tearing , 1953 .

[61]  Veera Sundararaghavan,et al.  Simulation of micro-scale shear bands using peridynamics with an adaptive dynamic relaxation method , 2018 .

[62]  R. Lehoucq,et al.  Peridynamic Theory of Solid Mechanics , 2010 .

[63]  M. Shashkov,et al.  A Multi-Scale Q1/P0 Approach to Lagrangian Shock Hydrodynamics , 2007 .

[64]  S. Silling Reformulation of Elasticity Theory for Discontinuities and Long-Range Forces , 2000 .