Archived Pre-prints

Preprints

Ball, J.M.: Some open problems in elasticity, Geometry, mechanics, and dynamics, 3–59, Springer, New York (2002). Postscript file
Ball, J.M.: Singularities and computation of minimizers for variational problems, Foundations of Computational Mathematics conference (Oxford 1999), London Math. Soc. Lecture Note Ser. 284, Cambridge University Press (2001). Postscript file
Ball, J.M.; Carstensen, C.: Compatibility conditions for microstructures and the Austenite–Martensite transition, Materials Science & Engineering A 273–275, 231–236 (1999). Gzipped postscript file
Ball, J.M.; Carstensen, C.: Hadamard’s compatibility condition for microstructures, in preparation.
Ball, J.M.; Kirchheim, B.; Kristensen, J.: Regularity of quasiconvex envelopes, Calc. Var. Partial Differential Equations 11, 333–359 (2000).
Ball, J.M.; Schryvers, D.: The formation of macrotwins in NiAl martensite, Proceedings of IUTAM symposium on Mechanics of Martensitic Phase Transformation in Solids, Hong Kong, Kluwer (2001), to appear. Gzipped postscript file
Bevan, J.: An example of a C^{1,1} polyconvex function with no differentiable convex representative, C. R. Acad. Sci. Paris, Ser. I 336, 11–14 (2003). Postscript file
Davini C.; Paroni, R.: Generalized Hessian and external approximations in variational problems involving the Hessian, in preparation.
Demoulini, S.: Weak solutions for a class of nonlinear systems of viscoelasticity, Arch. Ration. Mech. Anal. 155, 299–334 (2000). Postscript file
Fonseca, I.; Leoni, G.; Maly, J.; Paroni, R.: A note on Meyers’ theorem in W^{k,1}, Trans. Amer. Math. Soc. 354, 3723–3741 (2002).
Fonseca, I.; Leoni, G.; Paroni, R.; On Hessian matrices in the space BH. Submitted to Journal de Mathématiques Pures et Appliquées.
Forclaz, A.: A simple criterion for the existence of rank-one connections between martensitic wells, J. Elasticity 57, 281–305 (1999). Postscript file
Forclaz, A: Variational Methods in Materials Science, D.Phil. Thesis (2002). [Zip postscript] [Gzipped postscript] [Zip 2 page/sheet version] [Gzipped 2 page/sheet version]
Friesecke, G.; James, R.D.: A scheme for the passage from atomic to continuum theory for thin films, nanotubes and nanorods, J. Mech. Phys. Solids 48, 1519–1540 (2000).
Friesecke, G.; Theil, F.: Validity and failure of the Cauchy–Born rule in a 2D mass-spring lattice, J. Nonlinear Sci. 12, 445–478 (2002).
Friesecke, G.; James, R.D.; Müller, S.: Rigorous derivation of nonlinear plate theory and geometric rigidity, C.R. Math. Acad. Sci. Paris 334, 173–178 (2002).
Iqbal, Z.: Volume fractions in phase transitions with two variants. Postscript file
McMillan, E.: Multiscale correction to solitary wave solutions on FPU lattices, Nonlinearity 15, 1685–1697 (2002).
Mielke, A.; Theil, F.: On rate-independent hysteresis models, to appear in Nonlin. Diff. Eq. Appl. (2001).
Pagano, S.; Paroni, R.: A simple model for phase transitions: from the discrete to the continuum problem. Gzipped postscript file
Paroni, R.: From discrete to continuum problems: a Young measure approach. Submitted to ZAMP.
Paroni, R.: Phase transitions in solids: from discrete to continuum, Atti XV convegno AIMETA (2001).
Paroni, R.: Theory of linearly elastic residually stressed plates, in preparation.
Schryvers, D.; Boullay, P.; Potapov, P.L.; Kohn, R.V.; Ball, J.M.: Microstructures and Interfaces in NiAl Martensite: Comparing HRTEM Observations with Continuum Theories, Proceedings IUTAM symposium on Material Instabilities and Microstructure, Austin, Texas, Elsevier (2001), to appear.
Taheri, A.: Sufficiency theorems for local minimizers of the multiple integrals of the calculus of variations. Postscript file
Taheri, A.: Strong versus weak local minimizers for the perturbed Dirichlet functional. Postscript file
Taheri, A.: On critical points of functionals with polyconvex integrands. Postscript file
Theil, F.: Relaxation of rate-independent evolution problems, Proc. Roy. Soc. Edinburgh Sect. A 132, 463–481 (2002). Postscript file