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Isaac Scientific Publishing
New Horizons in Mathematical Physics
Prof. John D. Clayton,  University of Maryland, USA
Impact Physics Branch, RDRL-WMP-C, US ARL
Aberdeen Proving Ground,
MD 21005-5066 USA
Research Interests
Mechanics, applied mathematics, materials science, condensed matter physics, scientific computing
Selected Publication List
•J.D. Clayton. Defects in nonlinear elastic crystals: differential geometry, finite kinematics, and second-order analytical solutions. Zeitschrift fur Angewandte Mathematik und Mechanik (ZAMM), 95:476?10, 2015.
•J.D. Clayton. On Finsler geometry and applications in mechanics: review and new perspectives. Advances in Mathematical Physics, 2015:828475, 2015.
•J.D. Clayton and J. Knap. Nonlinear phase field theory for fracture and twinning with analysis of simple shear. Philosophical Magazine, 95:2661?696, 2015.
•J.D. Clayton. An alternative three-term decomposition for single crystal deformation motivated by non-linear elastic dislocation solutions. Quarterly Journal of Mechanics and Applied Mathematics, 67:127?58, 2014.
•J.D. Clayton. Nonlinear Eulerian thermoelasticity for anisotropic crystals. Journal of the Mechanics and Physics of Solids, 61:1983?014, 2013.
•J.D. Clayton. On anholonomic deformation, geometry, and differentiation. Mathematics and Mechanics of Solids, 17:702?35, 2012.
•J.D. Clayton. Towards a nonlinear elastic representation of finite compression and instability of boron carbide ceramic. Philosophical Magazine, 92:2860?893, 2012.
•J.D. Clayton and R. Becker. Elastic-plastic behavior of cyclotrimethylene trinitramine single crystals under spherical indentation:modeling and simulation. Journal of Applied Physics, 111:063512, 2012.
•J.D. Clayton and J. Knap. A phase field model of deformation twinning: nonlinear theory and numerical simulations. Physica D, 240:841?58, 2011.
•J.D. Clayton. Modeling nonlinear electromechanical behavior of shocked silicon carbide. Journal of Applied Physics, 107:013520, 2010.
•J.D. Clayton. A continuum description of nonlinear elasticity, slip and twinning, with application to sapphire. Proceedings of the Royal Society (London) A, 465:307?34, 2009.
•J.D. Clayton. A non-linear model for elastic dielectric crystals with mobile vacancies. International Journal of Non-linear Mechanics, 44:675?88, 2009.
•J.D. Clayton and P.W. Chung. An atomistic-to-continuum framework for nonlinear crystal mechanics based on asymptotic homogenization. Journal of the Mechanics and Physics of Solids, 54:1604?639, 2006.
•J.D. Clayton. Dynamic plasticity and fracture in high density polycrystals: constitutive modeling and numerical simulation. Journal of the Mechanics and Physics of Solids, 53:261?01, 2005.
•J.D. Clayton, D.J. Bammann, and D.L. McDowell. A geometric framework for the kinematics of crystals with defects. Philosophical Magazine, 85:3983?010, 2005.
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