Dynamic analysis of cracked plates based on a first-order shear deformation theory formulation by using an extended meshfree method

Abstract An extended meshfree method is employed in this paper for investigating the dynamic behaviour of cracked plates based on first-order shear deformation theory (FSDT). The FSDT a straightforward formulation with assumption as its name implies, which appropriate relatively thick plates. In study, chosen an alternative to conventional mesh-based methods model plate structures. Among various formulations, Moving Kriging (MK) that satisfies Kronecker delta property, allowing easy imposition essential boundary conditions. MK proposed without explicitly pre-defining crack geometry domain. concept, extrinsic enriched functions are discontinuity due crack. Particularly, Heaviside step function describe displacement fields two sides surface. And asymptotic used stress singularity around tip. analysis plates, one important factors must be evaluated resultant intensity factor (DSRIF). paper, DSRIFs shown through many numerical examples and compared analytical solutions other methods, showing accuracy efficiency present approach.