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