Steady-State Crack Propagation in Stressed Elastic Solid

A crack, symmetrically propagating in elastic material, was considered as superposition of surface Rayleigh waves. The self-similar growth of face loaded crack was considered in detail. Exact expressions of deformation and stress fields in the crack’s surrounding were found and asymptotic behavior of stress near cracks’ tips was also obtained. A condition that determines the crack’s velocity of self-similar propagation was found.</jats:p

On Increase of Strength and Fatigue Life of Asphalt Composites by Introducing Ultra-small Particles of Elastomers

AbstractIn this paper, an attempt was made (through theoretical analysis) to solve the problem of fatigue life and strength of an asphalt material modified with crumb rubber. The authors used the developed earlier idea of the possibility of micro-cracks propagation retardation and their arrest in heterogeneous systems (Kaplan and Chekunaev (2010)). In this paper, the authors calculated size of crumb rubber particles significantly slowing down rate of microcracks conversion into macrocracks. It was shown that the most optimal size of bitumen modifier particles (crumb rubber) is ultra-small (200 - 600nm)

Acceleration, Retardation and Crack Arrest in Stressed Heterogeneous Structures

Hamiltonian of the solid body with a crack inside in field of tensile stresses was derived. Hamiltonian equations describe process of crack propagation. A crack propagation was considered in heterogeneous material when in ground matrix present inclusions with work-of-fracture per unit surface significantly greater than in the matrix. Condition of cracks arrest in such system was found and length of path, passed until crack’s stop, was calculated.</jats:p