JM Ball - Geometry, mechanics, and dynamics, 2002 - Springer
Some outstanding open problems of nonlinear elasticity are described. The problems range from questions of existence, uniqueness, regularity and stability of solutions in statics and …
A Braides - Handbook of Differential Equations: stationary partial …, 2006 - Elsevier
Publisher Summary This chapter discusses the main properties of Γ-convergence, in particular those that are useful in the actual computation of Γ-limits. For some classes of …
Max-Planck-Institut Page 1 Max-Planck-Institut füur Mathematik in den Naturwissenschaften Leipzig A Gamma-convergence result for the two- gradient theory of phase transitions (revised …
Many materials can be modeled either as discrete systems or as continua, depending on the scale. At intermediate scales it is necessary to understand the transition from discrete to …
B Schmidt - Journal de mathématiques pures et appliquées, 2007 - Elsevier
We derive a plate theory for (possibly slightly stressed) heterogeneous multilayers in the regime of finite bending energies from three-dimensional elasticity theory by means of Γ …
YC Shu - Archive for rational mechanics and analysis, 2000 - Springer
We study the effective behavior of heterogeneous thin films with three competing length scales: the film thickness and the length scales of heterogeneity and material microstructure …
JM Arrieta, M Villanueva-Pesqueira - Journal of Mathematical Analysis and …, 2017 - Elsevier
In this work we study in detail how to adapt the unfolding operator method to thin domains with periodic oscillatory boundaries. We present the unfolding method as a general …
The objective of this thesis is the derivation of effective theories for thin elastic bodies with periodic microstructure. The main result is the rigorous, ansatz free derivation of a …