The dispersive behaviour of waves in softening problems is analysed. Attention is focused on the influence of the numerical scheme on the dispersion characteristics in the process of localization of deformation. Distinction has been made between softening models defined in a standard plasticity framework and in a gradient-dependent plasticity theory. Waves in a standard softening plasticity continuum do not disperse gradient-dependent plasticity theory. Waves in a standard softening plasticity continuum do not disperse but due to spatial discretization dispersion is introduced which results in a mesh size dependent length scale effect. On the other hand, wave propagation in a gradient-dependent softening plasticity continuum is dispersive. ...
A gradient enhanced model is formulated which simulates micro-structurally induced wave dispersion a...
A continuum model that incorporates a dependence upon the Laplacian of the inelastic strain is used ...
A continuum model that incorporates a dependence upon the Laplacian of the inelastic strain is used ...
The dispersive behaviour of waves in softening problems is analysed. Attention is focused on the inf...
The dispersive behaviour of waves in softening problems is analysed. Attention is focused on the inf...
The dispersive behaviour of waves in softening problems is analysed. Attention is focused on the inf...
The dispersive behaviour of waves in softening problems is analysed. Attention is focused on the inf...
Classical continuum models, i.e. continuum models that do not incorporate an internal length scale, ...
Classical continuum models, i.e. continuum models that do not incorporate an internal length scale, ...
Classical continuum models, i.e. continuum models that do not incorporate an internal length scale, ...
Classical continuum models, i.e. continuum models that do not incorporate an internal length scale, ...
Classical continuum models, i.e. continuum models that do not incorporate an internal length scale, ...
Classical continuum descriptions of material degradation may cease tobe mathematically meaningful in...
Classical continuum descriptions of material degradation may cease tobe mathematically meaningful in...
A gradient enhanced model is formulated which simulates micro-structurally induced wave dispersion a...
A gradient enhanced model is formulated which simulates micro-structurally induced wave dispersion a...
A continuum model that incorporates a dependence upon the Laplacian of the inelastic strain is used ...
A continuum model that incorporates a dependence upon the Laplacian of the inelastic strain is used ...
The dispersive behaviour of waves in softening problems is analysed. Attention is focused on the inf...
The dispersive behaviour of waves in softening problems is analysed. Attention is focused on the inf...
The dispersive behaviour of waves in softening problems is analysed. Attention is focused on the inf...
The dispersive behaviour of waves in softening problems is analysed. Attention is focused on the inf...
Classical continuum models, i.e. continuum models that do not incorporate an internal length scale, ...
Classical continuum models, i.e. continuum models that do not incorporate an internal length scale, ...
Classical continuum models, i.e. continuum models that do not incorporate an internal length scale, ...
Classical continuum models, i.e. continuum models that do not incorporate an internal length scale, ...
Classical continuum models, i.e. continuum models that do not incorporate an internal length scale, ...
Classical continuum descriptions of material degradation may cease tobe mathematically meaningful in...
Classical continuum descriptions of material degradation may cease tobe mathematically meaningful in...
A gradient enhanced model is formulated which simulates micro-structurally induced wave dispersion a...
A gradient enhanced model is formulated which simulates micro-structurally induced wave dispersion a...
A continuum model that incorporates a dependence upon the Laplacian of the inelastic strain is used ...
A continuum model that incorporates a dependence upon the Laplacian of the inelastic strain is used ...