The Lattice Boltzmann Method (LBM), e.g. in [3] and [4], can be interpreted as an alternative method for the numerical solution of partial differential equations. LBM is usually applied to solve fluid flows. However, interpretation a general tool, allows extend solid mechanics well. In this spirit, has been studied recent years. First publications [5], [6] present scheme dynamic behavior linear...

The inelastic response of Tennessee marble is modelled by an elastic plastic constitutive relation that includes pressure dependence of yield, strain-softening and inelastic volume strain (dilatancy). Data from 12 axisymmetric compression tests at con"ning pressures from 0 to 100 MPa are used to determine the dependence of the yield function and plastic potential, which are di!erent, on the "rs...

Under uniaxial tension, high-density polyethylene (HDPE) often fractures in a ductile manner. The fracture involves extensive necking that is known to occur in the plane-stress condition. However, for large-scale HDPE products like polyethylene pipe, crack can grow rapidly in a brittle manner. This type of fracture is known to be in the plane-strain condition, which has much lower toughness tha...