Phase-field modeling and peridynamics for defect dynamics, and an augmented phase-field model with viscous stresses
暂无分享,去创建一个
Kaushik Dayal | Vaibhav Agrawal | Timothy Breitzman | Janel Chua | George Gazonas | G. Gazonas | K. Dayal | T. Breitzman | Vaibhav Agrawal | Janel Chua
[1] Eliot Fried,et al. The evolution equation for a disclination in a nematic liquid crystal , 2002, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[2] K. Weinberg,et al. Cohesive Elements or Phase-Field Fracture: Which Method Is Better for Dynamic Fracture Analyses? , 2020, Modeling and Simulation in Engineering - Selected Problems.
[3] James K. Knowles,et al. Impact-Induced Tensile Waves in a Rubberlike Material , 2002, SIAM J. Appl. Math..
[4] Jean-Franccois Molinari,et al. Variational phase-field continuum model uncovers adhesive wear mechanisms in asperity junctions , 2020, Journal of the Mechanics and Physics of Solids.
[5] J. Ericksen,et al. Equilibrium of bars , 1975 .
[6] Irene Arias,et al. Phase-field modeling of crack propagation in piezoelectric and ferroelectric materials with different electromechanical crack conditions , 2012 .
[7] Jean-François Molinari,et al. Dynamic crack propagation with a variational phase-field model: limiting speed, crack branching and velocity-toughening mechanisms , 2017, International Journal of Fracture.
[8] Christian Linder,et al. A variational framework to model diffusion induced large plastic deformation and phase field fracture during initial two-phase lithiation of silicon electrodes , 2016 .
[9] A. Hunter,et al. A 3D phase field dislocation dynamics model for body-centered cubic crystals , 2019, Computational Materials Science.
[10] Timothy J. Healey,et al. The inverse-deformation approach to fracture , 2020, Journal of the Mechanics and Physics of Solids.
[11] J. Clayton. Nonlinear Elastic and Inelastic Models for Shock Compression of Crystalline Solids , 2019, Shock Wave and High Pressure Phenomena.
[12] Alain Molinari,et al. Dynamic cavitation and relaxation in incompressible nonlinear viscoelastic solids , 2015 .
[13] R. Lipton. Dynamic Brittle Fracture as a Small Horizon Limit of Peridynamics , 2013, 1305.4531.
[14] Kaushik Dayal,et al. Bond-level deformation gradients and energy averaging in peridynamics , 2018 .
[15] D. Kochmann,et al. Predicting the effective response of bulk polycrystalline ferroelectric ceramics via improved spectral phase field methods , 2017 .
[16] Anna Vainchtein,et al. Shocks versus kinks in a discrete model of displacive phase transitions , 2010 .
[17] Huajian Gao. Elastic waves in a hyperelastic solid near its plane-strain equibiaxial cohesive limit , 1997 .
[18] A. Molinari,et al. On the longitudinal impact of two phase transforming bars. Elastic versus a rate-type approach. Part I: The elastic case , 2006 .
[19] M. Arroyo,et al. A variational model of fracture for tearing brittle thin sheets , 2018, Journal of the Mechanics and Physics of Solids.
[20] Kaushik Bhattacharya,et al. Kinetics of phase transformations in the peridynamic formulation of continuum mechanics , 2006 .
[21] K. Dayal,et al. Dependence of equilibrium Griffith surface energy on crack speed in phase-field models for fracture coupled to elastodynamics , 2017, International Journal of Fracture.
[22] James K. Knowles,et al. On the driving traction acting on a surface of strain discontinuity in a continuum , 1990 .
[23] Cv Clemens Verhoosel,et al. A phase-field description of dynamic brittle fracture , 2012 .
[24] W. Heidug,et al. Thermodynamics of coherent phase transformations in nonhydrostatically stressed solids , 1985 .
[25] Olaf Weckner,et al. The effect of long-range forces on the dynamics of a bar , 2005 .
[26] Phoebus Rosakis,et al. An Equal Area Rule for Dissipative Kinetics of Propagating Strain Discontinuities , 1995, SIAM J. Appl. Math..
[27] M. Marder. Supersonic rupture of rubber , 2005, cond-mat/0504613.
[28] L. Ambrosio,et al. Approximation of functional depending on jumps by elliptic functional via t-convergence , 1990 .
[29] K. Dayal. Leading-Order Nonlocal Kinetic Energy in Peridynamics for Consistent Energetics and Wave Dispersion , 2017 .
[30] C. Dafermos. Hyberbolic Conservation Laws in Continuum Physics , 2000 .
[31] Bin Li,et al. Phase‐field modeling and simulation of fracture in brittle materials with strongly anisotropic surface energy , 2015 .
[32] Y. Bazilevs,et al. Hyperbolic phase field modeling of brittle fracture: Part I—Theory and simulations , 2018, Journal of the Mechanics and Physics of Solids.
[33] Lev Truskinovsky,et al. Kinks versus Shocks , 1993 .
[34] Raul Radovitzky,et al. An extended constitutive correspondence formulation of peridynamics based on nonlinear bond-strain measures , 2014 .
[35] J. K. Knowles,et al. Kinetic relations and the propagation of phase boundaries in solids , 1991 .
[36] Hans-Dieter Alber,et al. Solutions to a Model with Nonuniformly Parabolic Terms for Phase Evolution Driven by Configurational Forces , 2005, SIAM J. Appl. Math..
[37] F. Bobaru,et al. On validating peridynamic models and a phase-field model for dynamic brittle fracture in glass , 2020 .
[38] A. Hunter,et al. A phase field model for dislocations in hexagonal close packed crystals , 2020 .
[39] James K. Knowles,et al. Evolution of Phase Transitions: A Continuum Theory , 2006 .
[40] Long-Qing Chen. Phase-Field Models for Microstructure Evolution , 2002 .
[41] Laura De Lorenzis,et al. A review on phase-field models of brittle fracture and a new fast hybrid formulation , 2015 .
[42] Kaushik Dayal,et al. A dynamic phase-field model for structural transformations and twinning: Regularized interfaces with transparent prescription of complex kinetics and nucleation. Part II: Two-dimensional characterization and boundary kinetics , 2015 .
[43] John E. Dolbow,et al. A phase-field formulation for dynamic cohesive fracture , 2018, Computer Methods in Applied Mechanics and Engineering.
[44] A. Hunter,et al. Understanding dislocation mechanics at the mesoscale using phase field dislocation dynamics , 2016, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[45] Kaushik Dayal,et al. A dynamic phase-field model for structural transformations and twinning: Regularized interfaces with transparent prescription of complex kinetics and nucleation. Part I: Formulation and one-dimensional characterization , 2015 .
[46] K. Dayal,et al. Formulation of phase-field energies for microstructure in complex crystal structures , 2010 .
[47] J. D. Eshelby. The force on a disclination in a liquid crystal , 1980 .
[48] Tal Cohen. Dynamic enlargement of a hole in a sheet: Crater formation and propagation of cylindrical shock waves , 2019, Journal of the Mechanics and Physics of Solids.
[49] S. Turteltaub. Viscosity of Strain Gradient Effects on the Kinetics of Propagating Phase Boundaries in Solids , 1997 .
[50] J. Clayton,et al. Finsler-geometric continuum dynamics and shock compression , 2017, International Journal of Fracture.
[51] J. Rodríguez-Martínez,et al. Spherical void expansion in rubber-like materials: The stabilizing effects of viscosity and inertia , 2017 .
[52] Roger A. Sauer,et al. An adaptive space-time phase field formulation for dynamic fracture of brittle shells based on LR NURBS , 2019, Computational Mechanics.
[53] J. K. Knowles,et al. Implications of viscosity and strain-gradient effects for the kinetics of propagating phase boundaries in solids , 1991 .
[54] John D. Clayton,et al. A geometrically nonlinear phase field theory of brittle fracture , 2014, International Journal of Fracture.
[55] O. Lopez-Pamies,et al. Some Remarks on the Effects of Inertia and Viscous Dissipation in the Onset of Cavitation in Rubber , 2016, Journal of Elasticity.
[56] S. Silling. Reformulation of Elasticity Theory for Discontinuities and Long-Range Forces , 2000 .