A Micropolar Peridynamic Differential Operator and Simulation of Crack Propagation

[1]  Shaofan Li,et al.  On differences and comparisons of peridynamic differential operators and nonlocal differential operators , 2021, Computational Mechanics.

[2]  Sansit Patnaik,et al.  Variable-order fracture mechanics and its application to dynamic fracture , 2020, npj Computational Materials.

[3]  J. Labuz,et al.  Simulating fracture in rock using a micropolar peridynamic formulation , 2020 .

[4]  WaiChing Sun,et al.  A phase field model for cohesive fracture in micropolar continua , 2020, ArXiv.

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

[6]  R. Lakes,et al.  Experimental Study of Elastic Constants of a Dense Foam with Weak Cosserat Coupling , 2019, Journal of Elasticity.

[7]  Wei Wang,et al.  Localization and Bifurcation Analysis of Granular Materials in Micropolar Continuum , 2019, International Journal of Geomechanics.

[8]  Hui Liu,et al.  Two Cosserat peridynamic models and numerical simulation of crack propagation , 2019, Engineering Fracture Mechanics.

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

[10]  Vito Diana,et al.  A bond-based micropolar peridynamic model with shear deformability: Elasticity, failure properties and initial yield domains , 2019, International Journal of Solids and Structures.

[11]  Hongxiang Tang,et al.  Simulation of strain localization with discrete element-Cosserat continuum finite element two scale method for granular materials , 2019, Journal of the Mechanics and Physics of Solids.

[12]  T. Rabczuk,et al.  A nonlocal operator method for solving partial differential equations , 2018, 1810.02160.

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

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

[15]  Erdogan Madenci,et al.  Revisit of non-ordinary state-based peridynamics , 2017 .

[16]  Gianluca Cusatis,et al.  Discontinuous Cell Method (DCM) for the Simulation of Cohesive Fracture and Fragmentation of Continuous Media , 2016, 1608.06893.

[17]  Shaofan Li,et al.  The total and updated lagrangian formulations of state-based peridynamics , 2016 .

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

[19]  Erdogan Madenci,et al.  Peridynamic differential operator and its applications , 2016 .

[20]  D. Roy,et al.  A micropolar peridynamic theory in linear elasticity , 2014, 1410.8655.

[21]  Ted Belytschko,et al.  A meshfree unification: reproducing kernel peridynamics , 2014, Computational Mechanics.

[22]  Xikui Li,et al.  A bridging scale method for granular materials with discrete particle assembly – Cosserat continuum modeling , 2011 .

[23]  V. Gusev,et al.  Experimental evidence of rotational elastic waves in granular phononic crystals. , 2011, Physical review letters.

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

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

[26]  Ted Belytschko,et al.  Elastic crack growth in finite elements with minimal remeshing , 1999 .

[27]  Gilles A. Francfort,et al.  Revisiting brittle fracture as an energy minimization problem , 1998 .

[28]  R. Lakes,et al.  Finite element analysis of stress concentration around a blunt crack in a Cosserat elastic solid , 1988 .

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

[30]  R. Lakes,et al.  Cosserat micromechanics of human bone: strain redistribution by a hydration sensitive constituent. , 1986, Journal of biomechanics.