In non-linear incompatible elasticity, the configurations are maps from a non-Euclidean body manifold into the ambient Euclidean space,Rk. We prove the Γ-convergence of elastic energies for configurations of a converging sequence, Mn → M, of body manifolds. This convergence result has several implications: (i) It can be viewed as a general structural stability property of the elastic model. (ii...

[1] Room temperature investigations of the single-crystal elastic moduli and anisotropy of the phase of iron are performed up to 30.3 GPa using the radial X-ray diffraction technique. The accuracy of the calculated elastic moduli has improved compared to previous measurements using similar techniques because of an increase in accuracy of the measurement, confinement of the sample to limit the e...

Various models of tumour growth are available in the literature. The first type describe the evolution of the cell number density when considered as a continuous visco-elastic material with growth. The second type describe the tumour as a set, and rules for the free boundary are given related to the classical Hele-Shaw model of fluid dynamics. Following previous papers where the material is des...

The vector optical solitons composed of bright and dark pulses are analyzed. It is shown that in the smallamplitude limit a bound state of these solitons is described by the generalized Zakharov system, which supports coupled soliton solutions, and under special conditions it reduces to an integrable model. In the limit in which the integrable model approximation is valid, numerical simulations...

Actuating periodically an elastic filament in a viscous liquid generally breaks the constraints of Purcell’s scallop theorem, resulting in the generation of a net propulsive force. This observation suggests a method to design simple swimming devices which we call “elastic swimmers” where the actuation mechanism is embedded in a solid body and the resulting swimmer is free to move. In this paper...

We demonstrate a close analogy between a viscoelastic medium and an electrically conducting fluid containing a magnetic field. Specifically, the dynamics of the Oldroyd-B fluid in the limit of large Deborah number corresponds to that of a magnetohydrodynamic (MHD) fluid in the limit of large magnetic Reynolds number. As a definite example of this analogy, we compare the stability properties of ...

The Garvin–Alterman–Loewenthal solution refers to the problem of a line blast load suddenly applied in the interior of an elastic half-space. It is expected that the long-time asymptotic limit of this solution should be equal to the solution of a related static problem. This expectation is justified here. First, the solution of the static problem is constructed. Then, the asymptotic limit of th...

The tensile behavior of a Ni60Nb40 metallic glass (MG) has been studied by using ab initio density functional theory (DFT) calculation with a large cell containing 1024 atoms (614 Ni and 410 Nb). We provide insight into how a super elastic limit can be achieved in a MG. Spatially inhomogeneous responses of single atoms and also major polyhedra are found to change greatly with increasing externa...

We study the buckling of a compressed thin elastic film bonded to a compliant substrate. An asymptotic solution of the equations for a plate on an elastic foundation is obtained in the limit of large residual stress in the film. In this limit, the film’s shape is given by a popular origami folding, the Miura-ori, and is composed of parallelograms connected by dihedral folds. This asymptotic sol...

Bulk metallic glasses (BMG’s) have long been materials of interest due to their high strength, high elastic limit, wear and corrosion resistance, and ease of thermoforming above the glass transition temperature [1]. The primary technical challenge of implementing BMG’s in engineering applications is their tendency to fail catastrophically via highly localized shear banding events. Though the el...