1. Field of application

Law ENDO_CARRE aims to model fragile elastic behavior in a non-local version (GVNO [R5.04.04]). This law was built in order to provide a stable damage law (a loss of quadratic stiffness decreases the presence of numerical snap-backs), with a simple formulation (advantageous for analytical studies) and which has the advantage of being quadratic in damage and displacement, which makes it possible to work with an alternating minimization algorithm using the secant matrix of GVNO. The modelled material is isotropic elastic. Its stiffness can decrease irreversibly when the deformation energy becomes significant. The distinction between compression and traction behaviors is made on the spherical part of the deformation tensor to which healthy stiffness under compression and damaged during traction is associated. The width of the location bands is controlled by a material parameter, entered in the operator DEFI_MATERIAU under the keyword C_ GRAD_VARI of the keyword factor NON_LOCAL [U4.43.01].