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A model of granular flows over an erodible surface
Discrete models of force chain networks
1. | Physics Department, Duke University, Durham, NC 27708, United States |
[1] |
Qun Lin, Antoinette Tordesillas. Towards an optimization theory for deforming dense granular materials: Minimum cost maximum flow solutions. Journal of Industrial and Management Optimization, 2014, 10 (1) : 337-362. doi: 10.3934/jimo.2014.10.337 |
[2] |
K. A. Ariyawansa, Leonid Berlyand, Alexander Panchenko. A network model of geometrically constrained deformations of granular materials. Networks and Heterogeneous Media, 2008, 3 (1) : 125-148. doi: 10.3934/nhm.2008.3.125 |
[3] |
Gilberto M. Kremer, Wilson Marques Jr.. Fourteen moment theory for granular gases. Kinetic and Related Models, 2011, 4 (1) : 317-331. doi: 10.3934/krm.2011.4.317 |
[4] |
Giuseppina Autuori, Patrizia Pucci. Entire solutions of nonlocal elasticity models for composite materials. Discrete and Continuous Dynamical Systems - S, 2018, 11 (3) : 357-377. doi: 10.3934/dcdss.2018020 |
[5] |
Haolei Wang, Lei Zhang. Energy minimization and preconditioning in the simulation of athermal granular materials in two dimensions. Electronic Research Archive, 2020, 28 (1) : 405-421. doi: 10.3934/era.2020023 |
[6] |
Merab Svanadze. On the theory of viscoelasticity for materials with double porosity. Discrete and Continuous Dynamical Systems - B, 2014, 19 (7) : 2335-2352. doi: 10.3934/dcdsb.2014.19.2335 |
[7] |
Youri V. Egorov, Evariste Sanchez-Palencia. Remarks on certain singular perturbations with ill-posed limit in shell theory and elasticity. Discrete and Continuous Dynamical Systems, 2011, 31 (4) : 1293-1305. doi: 10.3934/dcds.2011.31.1293 |
[8] |
Julian Braun, Bernd Schmidt. On the passage from atomistic systems to nonlinear elasticity theory for general multi-body potentials with p-growth. Networks and Heterogeneous Media, 2013, 8 (4) : 879-912. doi: 10.3934/nhm.2013.8.879 |
[9] |
Julian Tugaut. Captivity of the solution to the granular media equation. Kinetic and Related Models, 2021, 14 (2) : 199-209. doi: 10.3934/krm.2021002 |
[10] |
Michael Shearer, Nicholas Giffen. Shock formation and breaking in granular avalanches. Discrete and Continuous Dynamical Systems, 2010, 27 (2) : 693-714. doi: 10.3934/dcds.2010.27.693 |
[11] |
E.B. Pitman, C.C. Nichita, A.K. Patra, A.C. Bauer, M. Bursik, A. Webb. A model of granular flows over an erodible surface. Discrete and Continuous Dynamical Systems - B, 2003, 3 (4) : 589-599. doi: 10.3934/dcdsb.2003.3.589 |
[12] |
Fei Meng, Xiao-Ping Yang. Elastic limit and vanishing external force for granular systems. Kinetic and Related Models, 2019, 12 (1) : 159-176. doi: 10.3934/krm.2019007 |
[13] |
Paolo Paoletti. Acceleration waves in complex materials. Discrete and Continuous Dynamical Systems - B, 2012, 17 (2) : 637-659. doi: 10.3934/dcdsb.2012.17.637 |
[14] |
Edward Della Torre, Lawrence H. Bennett. Analysis and simulations of magnetic materials. Conference Publications, 2005, 2005 (Special) : 854-861. doi: 10.3934/proc.2005.2005.854 |
[15] |
John Murrough Golden. Constructing free energies for materials with memory. Evolution Equations and Control Theory, 2014, 3 (3) : 447-483. doi: 10.3934/eect.2014.3.447 |
[16] |
Luca Deseri, Massiliano Zingales, Pietro Pollaci. The state of fractional hereditary materials (FHM). Discrete and Continuous Dynamical Systems - B, 2014, 19 (7) : 2065-2089. doi: 10.3934/dcdsb.2014.19.2065 |
[17] |
Mariano Giaquinta, Paolo Maria Mariano, Giuseppe Modica. A variational problem in the mechanics of complex materials. Discrete and Continuous Dynamical Systems, 2010, 28 (2) : 519-537. doi: 10.3934/dcds.2010.28.519 |
[18] |
Behrooz Yousefzadeh. Computation of nonreciprocal dynamics in nonlinear materials. Journal of Computational Dynamics, 2022, 9 (3) : 451-464. doi: 10.3934/jcd.2022010 |
[19] |
Philippe G. Ciarlet, Liliana Gratie, Cristinel Mardare. Intrinsic methods in elasticity: a mathematical survey. Discrete and Continuous Dynamical Systems, 2009, 23 (1&2) : 133-164. doi: 10.3934/dcds.2009.23.133 |
[20] |
Daniele Boffi, Franco Brezzi, Michel Fortin. Reduced symmetry elements in linear elasticity. Communications on Pure and Applied Analysis, 2009, 8 (1) : 95-121. doi: 10.3934/cpaa.2009.8.95 |
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