Probabilistic Fracture Mechanics for Nonlinear Structures
نویسندگان
چکیده
A probabilistic methodology has been developed for fracture-mechanics analysis of nonlinear cracked structures. The methodology involves nonlinear ®nite element analysis using well-known commercial codes; statistical models for uncertainty in material constitutive law, fracture toughness, and loads; and standard reliability methods for evaluating probabilistic characteristics of elastic±plastic fracture parameter. Numerical examples are presented to illustrate the proposed methodology for two-and three-dimensional cracked structures. The results from these examples show that the methodology is capable of predicting accurate deterministic and probabilistic characteristics of the J-integral for use in elastic±plastic fracture mechanics (EPFM).
منابع مشابه
A new brittleness index for estimation of rock fracture toughness
Assessment of the correlation between rock brittleness and rock fracture toughness has been the subject of extensive research works in the recent years. Unfortunately, the brittleness measurement methods have not yet been standardized, and rock fracture toughness cannot be estimated satisfactorily by the proposed indices. In the present study, statistical analyses are performed on some data col...
متن کاملA dimensional decomposition method for stochastic fracture mechanics
This paper presents a new dimensional decomposition method for obtaining probabilistic characteristics of crack-driving forces and reliability analysis of general cracked structures subject to random loads, material properties, and crack geometry. The method involves a novel function decomposition permitting lower-variate approximations of a crack-driving force or a performance function, Lagran...
متن کاملProbabilistic fracture mechanics by Galerkin meshless methods – part II: reliability analysis
This is the second in a series of two papers generated from a study on probabilistic meshless analysis of cracks. In this paper, a stochastic meshless method is presented for probabilistic fracture-mechanics analysis of linear-elastic cracked structures. The method involves an element-free Galerkin method for calculating fracture response characteristics; statistical models of uncertainties in ...
متن کاملProbabilistic fracture mechanics: J-estimation and ®nite element methods
The objective of this study was to evaluate the adequacy of current J-estimation models commonly used in probabilistic elastic±plastic analysis of ductile cracked structures. A newly developed probabilistic model based on elastic±plastic ®nite element method was used to evaluate the J-estimation model. In both models, the analyses involve elastic±plastic fracture mechanics for underlying determ...
متن کاملSimulation of the Mode I fracture of concrete beam with cohesive models
Crack propagation modeling in quasi-brittle materials such as concrete is essential for improving the reliability and load-bearing capacity assessment. Crack propagation explains many failure characteristics of concrete structures using the fracture mechanics approach. This approach could better explain the softening behavior of concrete structures. A great effort has been made in developing nu...
متن کامل