Probabilistic fracture investigation of symmetric angle ply laminated composite plates using displacement correlation method

Abstract

Abstract:The second order statistics of mixed mode stress intensity factors (MSIF) of single edge V-notched angle ply laminated composite plate subjected to uniaxial tensile load with uncertinity in the system properties using displacement correlation method (DCM) is evaluated. The random system properties such as material properties, crack opening and crack length are modelled as combined uncorrelated and correlated random system variables. A C nite element method (FEM) based on higher order shear deformation plate theory (HSDT) is used for basic formulation. The Taylor series based rst order perturbation technique (FOPT), second order perturbation technique (SOPT) are used and direct Monte Carlo simulation (MCS) is performed to evaluate the statistics (mean and coe cient of variance) of the mixed mode SIFs. The present work signi es the accurate analysis of frature behaviour by in uence of di erent random variables and bre orientations on the fracture behaviour in angle ply laminates.

Hygro-thermally induced stress intensity factor of an edge crack piezo laminated composite plate

“…The displacement field modified with C 0 continuity along x, y and z directions for the arbitrary laminated composite plate can be written as follows (Lal, Choksi and Singh, 2012;Lal, Saidane and Singh, 2012;Lal and Palekar Shailesh, 2016):…”

“…The parameter e f g is the strain vector consisting of linear fe L g strains. The linear strain tensor fe L g for the plate element using HSDT can be rewritten as follows (Lal and Palekar Shailesh, 2016):…”

“…where [B] and {q} are the geometrical matrix and displacement field vector, the electric field vector e P È É as given in Equation ( 28) can be shown as follows (Lal and Palekar Shailesh, 2016):…”

“…Lei et al (2015) presented a displacement extrapolation technique to find the parameters of fracture, for surface cracks in transverse isotropic magneto electroelastic (MEE) composites. Lal and Palekar Shailesh (2016) investigated probabilistic fracture of the laminated composited plate using DCM and predicted the value of MMSIF, also the effect of various random variables and orientations of fiber has been analyzed. Xie et al (2017) carried an investigation using dual BIE with COD and calculated SIF of 3D cracks.…”

“…Li et al (2015) evaluated it through the SBFEM technique by applying thermal loads on cracks or voids present in piezo materials. Lal and Palekar Shailesh (2016) proposed an approach using micromechanical models of a nonlinear piezoelectric elastically support sandwich plate (ESPLCSP) induced with hygro-thermo-mechanically loading. The formulation and solution with von-Karman nonlinearity are based on secant function based shear deformation theory.…”