Extended isogeometric analysis for dynamic fracture in multiphase piezoelectric/piezomagnetic composites

A dynamic extended isogeometric analysis (XIGA) is developed for transient fracture of cracked magnetoelectroelastic (MEE) solids under coupled electro-magneto-mechanical loading, taking the advantages of high order NURBS basis functions and enrichment methods. The extended dynamic fracture parameters are estimated through the electro-magneto-mechanical interaction integral. Numerical examples of electrically and magnetically impermeable cracks are studied to demonstrate the accuracy of the proposed XIGA and its ability in reproducing important phenomenological characteristics and behaviors of transient dynamic cracks in MEE materials. Our main objective focuses on the numerical investigations of transient dynamic cracks computed by the XIGA, investigating the effects of some numerical aspects on the responses, presenting new numerical results of dynamic responses, and addressing the XIGA performance. Different degrees of NURBS, polarization, finite size effects, enrichments, loadings, multiple cracks, volume fraction, different multiphase compositions of piezoelectric/piezromagnetic, etc. affecting the responses are investigated. Illustration of scattered elastic waves propagating in the cracked MEE is depicted to take an insight look at the behavior of responses.