A method of analysis for determining crack propagation loads on wood beams with end splits is presented. The method is based on (1) linear elastic orthotropic fracture mechanics concepts, (2) theory of complex variables, and (3) least squares boundary value collocation (BVC). Using this method, the critical stress intensity factor, Kllc of Douglas-fir beams with end splits is determined to be 2...

Under uniaxial loading, the heterogeneity of rock mass, change mechanical properties joints, and progressive fracture process mass significantly affect size effect anisotropy columnar jointed basalts (CJBs). To reveal features failure mechanisms CJBs influenced by anisotropy, digital image correlation (DIC), meso-damage mechanics, statistical strength theory, continuum mechanics were combined (...

It is by now well established that loading conditions with suffi ciently large triaxialities can induce the suddenappearance of internal cavities within elastomeric (and other soft) solids. The occurrence of such a phenome-non, commonly referred to as cavitation, can be attributed to the growth of pre-existing defects into fi nite sizes.In the fi rst part of this discussion, I w...

In this study, the existence and uniqueness of the solution of a class of nonlinear finite-part singular integral equations with Carleman shift preserving orientation has been investigated in the generalized Holder space () Γ ϕ H. 1. Introduction Many important problems of engineering mechanics like elasticity, plasticity, and fracture mechanics and aerodynamics can be reduced to the solution o...

62 Abstract In this paper, a new analytical technique to study the effect of wide-spread fatigue damage in ductile panels is presented. The main purpose of the study is to develop an efficient methodology to predict the maximum load carrying capacity of panels with cracks. The problem arises especially in the fuselage skin of aging airplanes, in which cracks initiate from a row of rivet holes. ...

This paper addresses the question of homogenization fracture properties for three-dimensional disordered brittle solids. The effective toughness, identified as minimum elastic energy release rate required to ensure crack growth, is predicted from a semi-analytical framework inspired by both micromechanics and statistical physics, that encompasses decisive influences material disorder mechanisms...

We apply a nonlinear-nonlocal field theory for numerical calculation of quasistatic fracture. The model is given by regularized nonlinear pairwise potential in peridynamic formulation. function an explicit formula with first and second derivatives. This fact allows us to write the entries tangent stiffness matrix explicitly thereby saving computational costs during assembly matrix. validate our...

A recently developed peridynamic (PD) shell model based on the ordinary state-based theory is adopted to evaluate stress intensity factors (SIFs) under in-plane loading. Strain and components are obtained by introducing differential operator. In order mixed-mode SIFs, domain form of interaction integral employed. The adaptive dynamic relaxation technique utilized obtain steady-state solutions, ...