In this paper, a class of minimization problems, labeled by an index 0 < h < 1, is considered. Each minimization problem is for a freeenergy, motivated by the magnetics in 3D-ferromagnetic thin film, and in the context, the index h denotes the thickness of the observing film. The Main Theorem consists of two themes, which are concerned with the study of the solvability (existence of minimizers)...

The behavior of a thin curved hyperelastic film bonded to a fixed substrate is described by an energy composed of a nonlinearly hyperelastic energy term and a debonding interfacial energy term. We compute the Γ-limit of this energy under a noninterpenetration constraint that prohibits penetration of the film into the substrate without excluding contact between them.

We are interested in the homogenization of elastic-electric coupling equation, with rapidly oscillating coefficients, in periodically perforated piezoelectric body. We justify the two first terms in the usual asymptotic development of the problem solution. For the main convergence results of this paper, we use the notion of two-scale convergence. A two-scale homogenized system is obtained as th...

We compute the large-body and the small-particle Gamma-limit of a family of energies for nematic elastomers. We work under the assumption of small deformations (linearized kinematics) and consider both compressible and incompressible materials. In the large-body asymptotics, even if we describe the local orientation of the liquid crystal molecules according to the model of perfect order (Frank ...

The present work reports the effects of γ-, θ-phase alumina on hydrothermal stability and properties non- strongly-interacting Rh species Rh/Al2O3 catalysts. Comparing to γ-Al2O3, θ-Al2O3 can not only reduce amount occluded but also better stabilize during aging treatment. When time was prolonged 70 h, all non-interacting transformed into Rh. XPS results indicated that might exist in form Rh/Rh...

This study was carried out to determine the effects of γ-aminobutyric acid on the reproductive performance, antioxidative status and biochemical indices of lactating sows. Forty-two lactating sows (Landrace×Large White) were blocked by body weight, parity and backfat and randomly assigned to 6 treatments: 0 (control), 100, 200, 300, 400 and 500 mg γ-aminobutyric acid /kg diet. The average tempe...

The sp3 C–H acetoxylation at the β-position of α,α-disubstituted α-amino acids proceeds smoothly under palladium catalysis in presence PhI(OAc)2. This reaction provides a straightforward synthetic route to non-natural β-acetoxy-α-amino acids. α-aminocyclopropanecarboxylic acid takes place via ring-opening selectively afford an acyclic γ-acetoxy-α,β-unsaturated amino acid.

Small α/γ-peptides alternating α-aminoisobutyric acid and cyclic γ-amino acid residues are described. NMR studies together with restrained simulated annealing revealed that an extended backbone conformation largely dominates in solution for as short as 4-residues long oligomers. This new fold type is devoid of any hydrogen bond and characterized by a four-fold symmetry.