Size Effects on Quasistatic Growth of Fractures
نویسندگان
چکیده
Abstract. We perform an analysis of the size effect for quasistatic growth of fractures in linearly isotropic elastic bodies under antiplanar shear. In the framework of the variational model proposed by G.A. Francfort and J.-J. Marigo in [14], we prove that if the size of the body tends to infinity, and even if the surface energy is of cohesive form, under suitable boundary displacements the fracture propagates following the Griffith’s functional.
منابع مشابه
Discontinuous Finite Element Approximation of Quasistatic Crack Growth in Finite Elasticity
We propose a time-space discretization of a general notion of quasistatic growth of brittle fractures in elastic bodies proposed in [13] by G. Dal Maso, G.A. Francfort, and R. Toader, which takes into account body forces and surface loads. We employ adaptive triangulations and prove convergence results for the total, elastic and surface energies. In the case in which the elastic energy is stric...
متن کاملAmbrosio-tortorelli Approximation of Quasi-static Evolution of Brittle Fractures
We define a notion of quasistatic evolution for the elliptic approximation of the Mumford-Shah functional proposed by Ambrosio and Tortorelli. Then we prove that this regular evolution converges to a quasi static growth of brittle fractures in linearly elastic bodies.
متن کاملA Generalization of Go La̧b’s Theorem and Applications to Fracture Mechanics
We study the lower semicontinuity for functionals of the form K → ∫ K φ(x, ν) dH defined on compact sets in R with a finite number of connected components and finite H measure and apply the result to the study of quasistatic growth of brittle fractures in linearly elastic inhomogeneous and anisotropic bodies.
متن کاملQuasistatic fractures in brittle media and iterated conformal maps.
We study the geometrical characteristic of quasistatic fractures in brittle media, using iterated conformal maps to determine the evolution of the fracture pattern. This method allows an efficient and accurate solution of the Lamé equations without resorting to lattice models. Typical fracture patterns exhibit increased ramification due to the increase of the stress at the tips. We find the rou...
متن کاملEffects of Water Temperature and Rations Size on Growth Performance, Feed Utilization and Carcass Biochemical Composition of Juvenile Benni (Mesopotamichthys sharpeyi)
A study was conducted to determine the effects of water temperature and rations size on growth performance, feed utilization and carcass biochemical composition of juvenile Benni. Six treatments representing a combination of two water temperature (24 and 28 °C) and three feeding rations (1%, 3% and 5%) were tested with three replicates. Each replicate was stocked with 12 fish (30.66±0.81 g aver...
متن کامل