This paper studies coherent, energy-minimizing mixtures of two linearly elastic phases with
identical elastic moduli. We derive a formula for the “relaxed” or “macroscopic” energy of the …

This paper deals with the mathematical characterization of microstructure in elastic solids.
We formulate our ideas in terms of rank-one convexity and identify the set of probability …

This paper discusses the relaxation of a multiwell energy of the special form W= min i {|▽ u−
ai| 2}. We explain how the relaxation QW can be expressed in terms of certain “tensors of …

We give a mathematical analysis of a concept of metastability induced by incompatibility.
The physical setting is a single parent phase, just about to undergo transformation to a …

The translation method has been used with great success in bounding the effective moduli
of composite materials. We consider here the analogous method for bounding the …

I2(u) = ~QW(Vu(x))dx Page 1 Arch. Math., Vol. 65, 316-326 (1995) 0003-889X/95/6504-0316 $
3.70/0 9 1995 Birkh~user Verlag, Basel Relaxation of some functionals of the calculus of …

In connection with phase transitions problems in crystals, the term laminate has been
successfully used to describe the behavior of such crystals under some special external …

El Cálculo de Variaciones ha proporcionado a lo largo de su historia herramientas y
técnicas muy adecuadas para tratar de describir configuraciones estables de determinados …