Hackl: K. Hackl, U. Hoppe, D. Kochmann, Variational modeling of microstructures in plasticity. In: J. Schröder, K. Hackl (Eds.): Plasticity and beyond: microstructures, crystalplasticity and phase transitions, International Centre for Mechanical Sciences: Courses and lectures, 550, Springer, 65–129, 2014.
Kochmann: A. Vidyasagar, A. D. Tucuoglu, D. M. Kochmann. Deformation patterning in finite-strain crystal plasticity by spectral homogenization with application to magnesium, Comput. Methods Appl. Mech. Engng. 335 (2018), 584-609.
A. Vidyasagar, W. L. Tan, D. M. Kochmann. Predicting the effective response of bulk polycrystalline ferroelectric ceramics via improved spectral phase field methods, J. Mech. Phys. Solids 106 (2017), 133-151.
Bhattacharya: K. Bhattacharya, Phase boundary propagation in heterogeneous bodies. Proc. Royal Soc. Lond A 455: 757-766, 1999.
S. Xia, L. Ponson, G. Ravichandran and K. Bhattacharya. Toughening and asymmetry in peeling of heterogeneous adhesives. Phys. Rev. Lett. 108: 196101, 2012.
James: Hanlin Gu, Lars Bumke, Christoph Chluba, Eckhard Quandt, and Richard D. James, Phase engineering and supercompatibility of shape memory alloys, Materials Today 21 (2017), 265-277.
Xian Chen, Vijay Srivastava, Vivekanand Dabade, and Richard D. James, Study of the cofactor conditions: conditions of supercompatibility between phases, J. Mech. Phys. Solids 61 (2013), 2566-2587, http://dx.doi.org/10.1016/j.jmps.2013.08.004.
R. D. James, Materials from mathematics, Bulletin of the American Mathematical Society, 56 (1) (January, 2019), to appear.
Dolzmann: Müller, Stefan Variational models for micro-structure and phase transitions. Calculus of variations and geometric evolution problems (Cetraro, 1996), 85–210, Lecture Notes in Math., 1713, Fond. CIME/CIME Found. Subser., Springer, Berlin, 1999.
Dacorogna, Bernard Direct methods in the calculus of variations. Second edition. Applied Mathematical Sciences, 78. Springer, New York, 2008, Chapters II and III.
Raoult: G. Friesecke, R. D. James and S. Müller, A hierarchy of plate models derived from nonlinear elasticity by Gamma-convergence, Arch. Ration. Mech. Anal. 180, 183–236, 2006.
A. Raoult, Quasiconvex envelopes in nonlinear elasticity in Poly-, Quasi-, and Rank-One Convexity in Applied Mechanics, P. Neff, J. Schroeder Eds, CISM Courses and Lectures, 516, 17-52, Springer, 2010.