On the Crack Quasi-Static Growth

Abstract

The theoretical model of quasi-static crack growth in the elastic-plastic material under load variation in a wide range. Small-scale yielding is principal assumption and main restriction of proposed theory. The model of crack growth provides for continues and interrelated both the crack propagation and plastic deformation development. The nonlinear first-order differential equation describes the quasi-static process of crack growth. In dimensionless form this equation invariant in respect to geometrical configuration and material. The critical size of the plastic zone is proposed as the characteristics of material resistance which is directly connected with the fracture toughness, but more convenient in practical applications of invariant equation. The demonstration of solution is performed for the double cantilever beam that widely used as the standard (DCB) sample for measurement of the mode-I interlaminar fracture toughness. he short analysis of some properties of solution of the invariant equation and its application is done.

Properties of the crack resistance of layered composite and simulation of a crack quasi-static growth

“…The crack length 𝑙 is given as a sum of actual crack length and correction member in accordance with the Modified Beam Theory method of standard [23]. More detailed description of equation ( 5), resolving method, properties, and examples of solution for some configurations of a cracked body can find in [18,19].…”

“…A simplified uniparameter description of quasi-static crack growth is given by [19] at the assumption of the small-scale Dugdale-type cohesive zone. The improved version of a model is presented in [20].…”

The crack quasi-static growth and analysis of interlaminar crack resistance of layered composite

“…where ܲ ത = ܲ/ܲ , ݈ ̅ = ݈/݈ , ‫̅ݎ‬ = ‫ݎ‬ /݈ and ‫ܩ‬ ̅ = ‫ܩ/ܩ‬ . More detailed description of Eq.11, resolving method, properties and examples of solution for some configurations of a cracked body can find in [18,19].…”

“…A simplified one-parameter description of quasi-static crack growth is given by [18] for the case of the small-scale cohesive zone. The improved version of a model is presented in [19].…”