Publication:
Modeling and simulation: Examples in Materials Science and Mechanics

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2013-12
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Abstract
Examples of mathematical models for problems in materials science and mechanics: defects and ripples in graphene, dislocation motion and nucleation in crystals, homogeneous and heterogeneous nucleation of particles and bubbles, motion of domain walls and Gunn effect in semiconductor structures, nondestructive testing of materials.
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UCM subjects
Física-Modelos matemáticos , Física de materiales , Análisis matemático , Análisis numérico
Unesco subjects
1202 Análisis y Análisis Funcional , 1206 Análisis Numérico
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[1] A Carpio, SJ Chapman, SD Howison, JR Ockendon, Dynamics of line singularities, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 355(1731), 2013-2024, 1997 [2] A Carpio, SJ Chapman, On the modelling of instabilities in dislocation interactions, Philosophical Magazine B 78 (2), 155-157, 1998 [3] A Carpio, SJ Chapman, S Hastings, JB McLeod, Wave solutions for a discrete reaction-diffusion equation, European Journal of Applied Mathematics 11 (4), 399-412, 2000 [4] A Carpio, LL Bonilla, A Wacker, E Schöll, Wave fronts may move upstream in semiconductor superlattices, Physical Review E 61 (5), 4866, 2000 [5] A Carpio, P Hernando, M Kindelan, Numerical study of hyperbolic equations with integral constraints arising in semiconductor theory, SIAM Journal on Numerical Analysis 39 (1), 168-191, 2001 [6] A Carpio, SJ Chapman, JJL Velázquez, Pile-up solutions for some systems of conservation laws modelling dislocation interaction in crystals, SIAM Journal on Applied Mathematics 61 (6), 2168-2199, 2001 [7] A Carpio, LL Bonilla, Wave front depinning transition in discrete one-dimensional reaction-diffusion systems, Physical Review Letters 86 (26), 6034, 2001 [8] A Carpio, LL Bonilla, G Dell’Acqua, Motion of wave fronts in semiconductor superlattices, Physical Review E 64 (3), 036204, 2001 [9] A Carpio, E Cebrian, FJ Mustieles, Long time asymptotics for the semiconductor Vlasov-Poisson-Boltzmann equations, Mathematical Models and Methods in Applied Sciences 11 (09), 1631-1655, 2001 [10] A Carpio, LL Bonilla, A Luzón, Effects of disorder on the wave front depinning transition in spatially discrete systems, Physical Review E 65 (3), 035207, 2002 [11] A Carpio, Wavefronts for discrete two-dimensional nonlinear diffusion equations, Applied Mathematics Letters 15 (4), 415-421, 2002 [12] A Carpio, LL Bonilla, Depinning transitions in discrete reaction-diffusion equations, SIAM Journal on Applied Mathematics 63 (3), 1056-1082, 2003 [13] A Carpio, LL Bonilla, Edge dislocations in crystal structures considered as traveling waves in discrete models, Physical Review Letters 90 (13), 135502, 2003 [14] A Carpio, LL Bonilla, Oscillatory wave fronts in chains of coupled nonlinear oscillators, Physical Review E 67 (5), 056621, 2003 [15] A Carpio, Nonlinear stability of oscillatory wave fronts in chains of coupled oscillators, Physical Review E 69 (4), 046601, 2004 [16] JC Neu, LL Bonilla, A Carpio, Igniting homogeneous nucleation, Physical Review E 71 (2), 021601, 2005 [17] A Carpio, LL Bonilla, Discrete models of dislocations and their motion in cubic crystals, Physical Review B 71 (13), 134105, 2005 [18] LL Bonilla, A. Carpio, Y. Farjoun, JC Neu, Asymptotic and numerical studies of the Becker-Döring model for transient homogeneous nucleation, Markov processes and related fields, 12, 341-365, 2006 [19] LL Bonilla, A Carpio, JC Neu, WG Wolfer, Kinetics of helium bubble formation in nuclear materials, Physica D: Nonlinear Phenomena 222 (1-2), 131-140, 2006 [20] LL Bonilla, A Carpio, I Plans, Dislocations in cubic crystals described by discrete models, Physica A: Statistical Mechanics and its Applications 376, 361-377, 2007 [21] I Plans, A Carpio, LL Bonilla, Homogeneous nucleation of dislocations as bifurcations in a periodized discrete elasticity model, EPL (Europhysics Letters) 81 (3), 36001, 2008 [22] A Carpio, ML Rapún, Topological derivatives for shape reconstruction, In: Bonilla, L.L. (eds) Inverse Problems and Imaging. Lecture Notes in Mathematics, vol 1943. Springer, Berlin, Heidelberg, 2008 [23] A Carpio, LL Bonilla, F de Juan, MAH Vozmediano, Dislocations in graphene, New Journal of Physics 10 (5), 053021, 2008 [24] A Carpio, ML Rapún, Solving inhomogeneous inverse problems by topological derivative methods, Inverse Problems 24 (4), 045014, 2008 [25] A Carpio, LL Bonilla, Periodized discrete elasticity models for defects in graphene, Physical Review B 78 (8), 085406, 2008 [26] A Carpio, ML Rapún, Domain reconstruction using photothermal techniques, Journal of Computational Physics 227 (17), 8083-8106, 2008 [27] JC Neu, A Carpio, LL Bonilla, Theory of surface deposition from boundary layers containing condensable vapour and particles, Journal of fluid mechanics 626, 183-210, 2009 [28] E Cebrián, LL Bonilla, A Carpio, Self-sustained current oscillations in the kinetic theory of semiconductor superlattices, Journal of Computational Physics 228 (20), 7689-7705, 2009 [29] I Plans, A Carpio, LL Bonilla, Toy nanoindentation model and incipient plasticity, Chaos, Solitons & Fractals 42 (3), 1623-1630, 2009 [30] A Carpio, ML Rapún, An iterative method for parameter identification and shape reconstruction, Inverse Problems in Science and Engineering 18 (1), 35-50, 2010 [31] A Carpio, BT Johansson, ML Rapún, Determining planar multiple sound-soft obstacles from scattered acoustic fields, Journal of Mathematical Imaging and Vision 36 (2), 185-199, 2010 [32] A Carpio, B Tapiador, Nonreflecting boundary conditions for discrete waves, Journal of Computational Physics 229 (5), 1879-1896, 2010 [33] A Prados, LL Bonilla, A Carpio, Phase transitions in a mechanical system coupled to Glauber spins, Journal of Statistical Mechanics: Theory and Experiment P06016, 2010 [34] LL Bonilla, A Prados, A Carpio, Nonequilibrium dynamics of a fast oscillator coupled to Glauber spins, Journal of Statistical Mechanics: Theory and Experiment P09019, 2010 [35] A Carpio, B Tapiador, Analysis of helium bubble growth in radioactive waste, Nonlinear Analysis: Real World Applications 11 (5), 4174-4184, 2010 [36] LL Bonilla, A Carpio, Theory of defect dynamics in graphene: defect groupings and their stability, Continuum Mechanics and Thermodynamics 23 (4), 337-346, 2011 [37] LL Bonilla, A Carpio, A Prados, RR Rosales, Ripples in a string coupled to Glauber spins, Physical Review E 85 (3), 031125, 2012 [38] LL Bonilla, A Carpio, Driving dislocations in graphene, Science 337 (6091), 161-162, 2012 [39] LL Bonilla, A Carpio, Ripples in a graphene membrane coupled to Glauber spins Journal of Statistical Mechanics: Theory and Experiment P09015, 2012 [40] LL Bonilla, A Carpio, Model of ripples in graphene, Physical Review B 86 (19), 195402, 2012
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https://hdl.handle.net/20.500.14352/36965
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