Understanding cracked materials: is Linear Elastic Fracture Mechanics obsolete?

Shape sensitivity and reliability analyses of linear-elastic cracked structures

This paper presents a new method for continuum-based shape sensitivity and reliability analyses of a crack in a homogeneous, isotropic, and linear-elastic body subject to mode-I loading. The method involves the material derivative concept of continuum mechanics, domain integral representation of the J-integral, and direct differentiation. Unlike virtual crack extension techniques, no mesh pertu...

Fractal Materials, Beams, and Fracture Mechanics

Continuing in the vein of a recently developed generalization of continuum thermomechanics, in this paper we extend fracture mechanics and beam mechanics to materials described by fractional integrals involving D, d and R. By introducing a product measure instead of a Riesz measure, so as to ensure that the mechanical approach to continuum mechanics is consistent with the energetic approach, sp...

Is Just War Theory Obsolete?

Just War Theory can be found in almost all major cultures. But since war was a business that could not be easily stopped, some aimed to constrain it. In its classic form, Just War Theory has been around for several centuries—ever since nationhood in Europe replaced provincial governments. Having made some introductory considerations, I will ask: should Just War Theory be left as it is, changed,...

FRACTURE MECHANICS WHAT IS FRACTURE MECHANICS Fracture mechanics is mechanics of solids containing planes of displacement discontinuities (cracks)

Behavior of cracked materials

Abstract. Due to their microstructure, quasi brittle materials present rough cracks. Under sliding of the crack lips, this roughness involves in one hand induced opening and in the other hand some apparent plasticity which is due to the interlocking of the crack lips combined with Coulomb’s friction. The proposed model is written under the irreversible thermodynamics framework. Micromechanics u...