We give a general Γ-convergence result for vector-valued non-linear energies defined on perforated domains for integrands with p-growth in the critical case p = n. We characterize the limit extra term by a formula of homogenization type. We also prove that for p close to n there are three regimes, two with a non trivial size of the perforation (exponential and mixed polynomial-exponential), and...

We propose an approximation scheme for a variational theory of brittle fracture. In this scheme, the energy functional is approximated by a family of functionals depending on a small parameter and on two fields: the displacement field and an eigendeformation field that describes the fractures that occur in the body. Specifically, the eigendeformations allow the displacement field to develop jum...

In this paper we generalize to arbitrary dimensions a one-dimensional equicoerciveness and Γ-convergence result for a second derivative perturbation of Perona-Malik type functionals. Our proof relies on a new density result in the space of special functions of bounded variation with vanishing diffuse gradient part. This provides a direction of investigation to derive approximation for functiona...

The yield set of a polycrystal is characterized by means of a variational principle in L∞ obtained via Γ-convergence of a class of power-law functionals in the setting of A-quasiconvexity. Our results apply, in particular, to the model cases of antiplane shear and plane stress plasticity. 2000 AMS Mathematics Classification Numbers: 35F99, 35J70, 49K20, 49S05, 74C05

In this work, an efficient photocatalyst based on gamma-cyclodextrin-modified titanium dioxide nanoparticles (TiO2/γ-CD NPs) was synthesized and used for photocatalytic degradation of rhodamine B (RhB), methyl orange (MO) and methylene blue (MB). The results of FESEM, EDX, TEM, FT-IR, XRD and BET surface area measurement showed that the TiO2 NPs were effectively modifi...

Objective(s): The effects of alpha linolenic acid (ALA) on tracheal responsiveness (TR), total protein (TP), phospholipase A2 (PLA2), immunoglobulin E (IgE), interleukin 4 (IL-4), interferon gamma (INF-γ) level and INF-γ/IL4 ratio in bronchoalveolar lavage fluid (BALF) of sensitized rats were examined.Materials and Methods: TR to methacholine and ovalbumin (OA), BALF levels of TP, PLA2 and IgE ...

Let Γ=(V,E) be a simple connected graph. A vertex is said to recognize (resolve) two different elements b1 and b2 from V(Γ)∪E(Γ) if d(a,b1)≠d(a,b2}. subset of distinct ordered vertices UM⊆V(Γ) mixed metric generator for Γ each pair V∪E are recognized by some element UM. The with minimum number called basis Γ. Then, the cardinality this dimension Γ, denoted mdim(Γ). concept studying chemical str...

The aim of this study is to provide a generalization prime vague Γ-ideals in Γ-rings by introducing non-symmetric 2-absorbing weakly complete commutative Γ-rings. A novel algebraic structure primary Γ-ideal Γ-ring presented ideal theory. approach K-vague are examined and the relation between level subset given. image inverse studied 1-1 inclusion-preserving correspondence theorem quotient R ind...

Low temperature plasma assisted nit riding treatments of 316 stainless steel produce a complex layer constituted by tow different metastable f.c.c. solid solution denoted ( γ N1 and γ N2 ). About the formation of these double layers, different hypothesis was proposed in the literature. For verifying these hypotheses, the effects of differentes conditions such as nit riding temperature, cleaning...