Prediction of deformation and failure modes in metallic and composite materials by using

PERIDYNAMIC THEORY (PD)

FINITE ELEMENT METHOD (FEM)

PERIDYNAMIC DIFFERENTIAL OPERATOR (PDDO)

• ANALYSIS OF DISCRETE DATA SUCH AS INTERPOLATION, REGRESSION, RECOVERY, AND SMOOTHING.

• SOLUTION OF LINEAR AND NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS (PDE) OF PARABOLIC, HYPERBOLIC, AND ELLIPTIC TYPES WITH AND WITHOUT A DISCONTINUITY IN THE FORM OF AN INTERFACE OR A CRACK.  

             (a) The horizontal and (b) vertical displacement variations of a diagonal plate with a pre-existing crack under displacement constraints.

 

PDDO predictions for crack propagation from an inclined pre-existing crack.

 

PHYSICS-INFORMED NEURAL NETWORK FOR DIFFERENTIAL EQUATIONS