9 papers
A stochastic framework for atomistic fracture
Maciej Buze, Thomas E. Woolley, L. Angela Mihai
We present a stochastic modeling framework for atomistic propagation of a Mode I surface crack, with atoms interacting according to the Lennard-Jones interatomic potential at zero…
Likely striping in stochastic nematic elastomers
L. Angela Mihai, Alain Goriely
For monodomain nematic elastomers, we construct generalised elastic-nematic constitutive models combining purely elastic and neoclassical-type strain-energy densities. Inspired by…
Likely cavitation and radial motion of stochastic elastic spheres
L. Angela Mihai, Thomas E. Woolley, Alain Goriely
The cavitation of solid elastic spheres is a classical problem of continuum mechanics. Here, we study this problem within the context of "stochastic elasticity" where the constitut…
A note on non-homogeneous deformations with homogeneous Cauchy stress for a strictly rank-one convex energy in isotropic hyperelasticity
Eva Schweickert, L. Angela Mihai, Robert J. Martin +1
It has recently been shown that for a Cauchy stress response induced by a strictly rank-one convex hyperelastic energy potential, a homogeneous Cauchy stress tensor field cannot co…
Likely oscillatory motions of stochastic hyperelastic solids
L. Angela Mihai, Danielle Fitt, Thomas E. Woolley +1
Stochastic homogeneous hyperelastic solids are characterised by strain-energy densities where the parameters are random variables defined by probability density functions. These mo…
Likely chirality of stochastic anisotropic hyperelastic tubes
L. Angela Mihai, Thomas E. Woolley, Alain Goriely
When an elastic tube reinforced with helical fibres is inflated, its ends rotate. In large deformations, the amount and chirality of rotation is highly non-trivial, as it depends o…