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Introduction to Material Failure Analysis using Generalized Finite Element & Meshless Methods


  • You­cai Wu, Ph.D.
  • Wei Hu, Ph.D.

Introduction to Material Failure Analysis using Generalized Finite Element & Meshless Methods


This is an in­tro­duc­to­ry lev­el class for those who are in­ter­est­ed in us­ing LS-DY­NA® for ma­te­r­i­al fail­ure analy­sis.


This course fo­cus­es on mod­el­ing ma­te­r­i­al fail­ure phe­nom­e­na us­ing gen­er­al­ized fi­nite el­e­ment and mesh­less meth­ods for in­dus­tri­al ap­pli­ca­tions, such as elec­tron­ics, aero­space, au­to­mo­tive, man­u­fac­tur­ing, civ­il, med­ical, de­fense, sports, and con­sumer prod­ucts. Out­stand­ing ex­am­ples in­clude, but are not lim­it­ed to, ma­te­r­i­al fail­ure in elec­tron­ic pack­ag­ing, crash­wor­thi­ness, tur­bine en­gine safe­ty, bird strike, join­ing and as­sem­bly process­es, drop tests, and met­al fab­ri­ca­tion. We will dis­cuss a wide range of nat­ur­al and man-made ma­te­ri­als, such as met­al al­loy, glass, plas­tic, foam, com­pos­ite (lam­i­nate, fiber re­in­forced), and con­crete.

The fail­ure process­es to be mod­eled span from low speed de­for­ma­tion to high strain rate dy­nam­ic re­sponse, such as duc­tile and brit­tle fail­ure, crack prop­a­ga­tion, de­lam­i­na­tion (in lam­i­nates) and frag­men­ta­tion. To bet­ter cap­ture the physics in these process­es, ma­te­r­i­al sep­a­ra­tion is care­ful­ly treat­ed through var­i­ous ap­prox­i­ma­tion schemes rather than the el­e­ment/­ma­te­r­i­al dele­tion tech­nique ap­plied with the tra­di­tion­al fi­nite el­e­ment method. Thus, con­ser­va­tion laws are sat­is­fied and re­li­able force re­spons­es and phys­i­cal de­for­ma­tion modes can be ob­tained. Sev­er­al gen­er­al­ized fi­nite el­e­ment and mesh­free meth­ods and their cor­re­spond­ing LS-DY­NA key­words will be in­tro­duced. The ba­sics of pre- and post- pro­cess­ing pro­ce­dures will al­so be in­tro­duced in the class through in-class work­shops.


  • Smoothed Par­ti­cle Galerkin (SPG) Method

    • Duc­tile fail­ure in de­struc­tive man­u­fac­tur­ing

      • Blank­ing, cut­ting, drilling, grind­ing, self-pierc­ing riv­et­ing, flow drill screw­ing

    • Duc­tile and se­mi-brit­tle fail­ure in im­pact pen­e­tra­tion and per­fo­ra­tion

      • Im­pact on met­al and con­crete tar­gets

    • Struc­tur­al fail­ure

      • Strength analy­sis of var­i­ous joints such as SPR joints and spot welds

  • Peri­dy­nam­ics

    • Brit­tle fail­ure in isotrop­ic brit­tle ma­te­r­i­al

      • Glass frac­ture, im­pact on wind­shield 

    • De­lam­i­na­tion and in-plane fail­ure in UD com­pos­ite lam­i­nates

  • Smoothed Par­ti­cle Hy­dro­dy­nam­ics (SPH)

    • Im­pact and pen­e­tra­tion

  • eX­tend­ed Fi­nite El­e­ment Method (XFEM)

    • Duc­tile fail­ure (crack prop­a­ga­tion) in shell struc­tures