A fractional calculus approach to the mechanics of fractal media.
A generalization of Osgood's test and a comparison criterion for integral equations with noise.
A model of seismic excitation
The influence of a seismic wave on a building is customarily described as a force, a function of the time, whose explicit expression is prescribed. We here suggest a one-dimensional model able to relate this force to the sudden onset of a fault in the rock layer on which the building is built.
A new approach to fracture mechanics.
About a stress deformation condition of a piecewise-uniform wedge with a system of collinear cracks at an antiplane deformation.
Antiplane fracture analysis of a crack in a monlicnic composite.
Closed-form solutions for a mode-III moving interface crack at the interface of two bonded dissimilar orthotropic elastic layers.
Conditions of cracking of a stringer.
Dynamic crack propagation between two bonded orthotropic plates.
Finite-difference approximation of energies in fracture mechanics
Homogenization of many-body structures subject to large deformations
We give a first contribution to the homogenization of many-body structures that are exposed to large deformations and obey the noninterpenetration constraint. The many-body structures considered here resemble cord-belts like they are used to reinforce pneumatic tires. We establish and analyze an idealized model for such many-body structures in which the subbodies are assumed to be hyperelastic with a polyconvex energy density and shall exhibit an initial brittle bond with their neighbors. Noninterpenetration...
Homogenization of many-body structures subject to large deformations
We give a first contribution to the homogenization of many-body structures that are exposed to large deformations and obey the noninterpenetration constraint. The many-body structures considered here resemble cord-belts like they are used to reinforce pneumatic tires. We establish and analyze an idealized model for such many-body structures in which the subbodies are assumed to be hyperelastic with a polyconvex energy density and shall exhibit an...
Interaction between line cracks in an orthotropic layer.
Interface crack problem for electroelastic body.
Invariant integrals for the equilibrium problem for a plate with a crack.
Locking-Free Finite Elements for Unilateral Crack Problems in Elasticity
We consider mixed and hybrid variational formulations to the linearized elasticity system in domains with cracks. Inequality type conditions are prescribed at the crack faces which results in unilateral contact problems. The variational formulations are extended to the whole domain including the cracks which yields, for each problem, a smooth domain formulation. Mixed finite element methods such as PEERS or BDM methods are designed to avoid locking for nearly incompressible materials in plane elasticity....
Mixed finite element discretization of some variational inequalities arising in elasticity problems in domains with cracks.
Moving Griffith crack in an orthotropic strip with punches at boundary faces.
Moving interfacial Griffith crack between bonded dissimilar media.
Non-local damage modelling of quasi-brittle composites
Most building materials can be characterized as quasi-brittle composites with a cementitious matrix, reinforced by some stiffening particles or elements. Their massive exploitation motivates the development of numerical modelling and simulation of behaviour of such material class under mechanical, thermal, etc. loads, including the evaluation of the risk of initiation and development of micro- and macro-fracture. This paper demonstrates the possibility of certain deterministic prediction, applying...