Homogenization of a nonlinear elastic fibre-reinforced composite: A second gradient nonlinear elastic material

Homogenization of nonlinear visco-elastic composites

Quasi-static processes in nonlinear visco-elastic materials of solid-type are here represented by the system: σ −B(x) : ∂ε ∂t ∈ β(ε, x), −divσ = f , (∗) coupled with initial and boundary conditions. Here σ denotes the stress tensor, ε the linearized strain tensor, B(x) the viscosity tensor, β(·, x) a (possibly multi-valued) maximal monotone mapping, and f an applied load. Existence and uniquene...

A second gradient material resulting from the homogenization of an heterogeneous linear elastic medium

The analysis of a Beam Made of Physical Nonlinear Material on Elastic Foundation Under a Harmonic Load

  ABSTRACT: A prismatic beam made of a behaviorally nonlinear material situated on nonlinear elastic foundation is analyzed under a moving harmonic load moving with a known velocity. The vibration equation of motion    is derived using Hamilton principle and Euler Lagrange equation. The amplitude of vibration, circular frequency, bending moment, stress and deflection of the beam can be calculat...

Effective wave propagation in a prestressed nonlinear elastic composite bar

The problem of determining the effective incremental response of nonlinearly elastic composite materials given some initial prestress is of interest in numerous application areas. In particular, the case when small-amplitude elastic waves pass through a prestressed inhomogeneous structure is of great importance. Of specific interest is how the initial finite deformation affects the microstructu...

Nonlinear Elastic