[图书][B] Gamma-convergence for Beginners

A Braides - 2002 - books.google.com
The theory of Gamma-convergence is commonly recognized as an ideal and flexible tool for
the description of the asymptotic behaviour of variational problems. Its applications range …

Some open problems in elasticity

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 handbook of Г-convergence

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 …

[PDF][PDF] A Gamma-convergence result for the two-gradient theory of phase transitions

S Conti, I Fonseca, G Leoni - 2001 - mis.mpg.de
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 …

[图书][B] Discrete variational problems with interfaces

R Alicandro, A Braides, M Cicalese, M Solci - 2023 - books.google.com
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 …

Plate theory for stressed heterogeneous multilayers of finite bending energy

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 …

Heterogeneous thin films of martensitic materials

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 …

[HTML][HTML] Thin domains with non-smooth periodic oscillatory boundaries

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 …

Homogenization, linearization and dimension reduction in elasticity with variational methods

S Neukamm - 2010 - mediatum.ub.tum.de
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 …

Brittle thin films

A Braides, I Fonseca - Applied Mathematics and Optimization, 2001 - Springer
Brittle Thin Films Page 1 DOI: 10.1007/s00245-001-0022-x Appl Math Optim 44:299–323 (2001)
© 2001 Springer-Verlag New York Inc. Brittle Thin Films ∗ A. Braides1 and I. Fonseca2 …