Non-linear elasticity theory may be used to calculate the coordinates of a deformed body when the coordinates of the undeformed, stress-free body are known. In some situations, such as one of the steps in the location of tumours in a breast, the coordinates of the deformed body are known and the coordinates of the undeformed body are to be calculated, i.e. we require the solution of the inverse...

Abstract The research of a formulation to model non-local interactions in the mechanical behavior matter is currently an open problem. In this context, strong based on fractional calculus provided paper. This derived from analogy with long-memory viscoelastic models. Specifically, same kind power-law time-dependent kernel used Boltzmann integral stress-strain relation as Fredholm relation. lead...

this paper presents the thermal vibration analysis of double-layer graphene sheet embedded in polymer elastic medium, using the plate theory and nonlocal continuum mechanics for small scale effects. the graphene is modeled based on continuum plate theory and the axial stress caused by the thermal effects is also considered. nonlocal governing equations of motion for this double-layer graphene s...

We are concerned with the quasi-static acceleration of slip, in which elasticity introduces instantaneous interactions between points in space. That interaction may be local or non-local and is dependent on the elastic configuration. Here we examine a configuration in which interactions are generally non-local, except, as we show, in a particular limit where they become local: inor antiplane sl...

A general theory of dynamics is formulated with the aim its application in emergent quantum mechanics. In such a framework it argued that fundamental mechanics must be non-reversible.

In this paper, we will consider cosmological implications of the Maxwell theory coupled to a non-local U(1)-symmetric term. It is well-known that in flat space–time, reduces Proca theory. However, it be shown curved space–time resulting differ from Einstein–Proca system. The perturbations on top de Sitter also considered and dynamics separate modes investigated details. Anisotropic cosmology mo...