Quasistatic Crack Growth in Finite Elasticity with Non–interpenetration
نویسنده
چکیده
We present a variational model to study the quasistatic growth of brittle cracks in hyperelastic materials, in the framework of finite elasticity, taking into account the non-interpenetration condition.
منابع مشابه
Crack Growth with Non-interpenetration: a Simplified Proof for the Pure Neumann Problem
We present a recent existence result concerning the quasistatic evolution of cracks in hyperelastic brittle materials, in the framework of finite elasticity with non-interpenetration. In particular, here we consider the problem where no Dirichlet conditions are imposed, the boundary is traction-free, and the body is subject only to time-dependent volume forces. This allows us to present the mai...
متن کاملQuasistatic Crack Growth in Finite Elasticity with Lipschitz Data
We extend the recent existence result of [9] for quasistatic evolutions of cracks in finite elasticity, allowing for boundary conditions and external forces with discontinuous first derivatives.
متن کاملQuasistatic Crack Growth in Finite Elasticity
In this paper, we prove a new existence result for a variational model of crack growth in brittle materials proposed in [15]. We consider the case of n -dimensional finite elasticity, for an arbitrary n ≥ 1 , with a quasiconvex bulk energy and with prescribed boundary deformations and applied loads, both depending on time.
متن کاملDiscontinuous 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 کاملA Variational Model for Quasistatic Crack Growth in Nonlinear Elasticity: Some Qualitative Properties of the Solutions
We present the main existence result for quasistatic crack growth in the model proposed by Dal Maso, Francfort, and Toader, and prove some qualitative properties of the solutions.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009