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Advanced Numerical Methods for Material & Structural Failure Analysis


  • C.T. Wu, Ph.D.
  • Bo Ren, Ph.D.


  • $650
  • $325 for students

What's Included

  • Two days of in­struc­tion
  • Class notes

Advanced Numerical Methods for Material & Structural Failure Analysis


  • Equiv­a­lent knowl­edge to an in­tro­duc­to­ry class on LS-DY­NA®


This course in­tro­duces ma­te­r­i­al and struc­tur­al fail­ure analy­sis through ad­vanced nu­mer­i­cal meth­ods rather than through ma­te­r­i­al con­sti­tu­tive laws and the el­e­ment/­ma­te­r­i­al dele­tion tech­nique. Con­ser­va­tion laws are sat­is­fied such that re­li­able force re­spons­es and phys­i­cal de­for­ma­tion modes can be ob­tained.

We will in­tro­duce four meth­ods dur­ing the class, name­ly: Smoothed Par­ti­cle Galerkin (SPG), Peri­dy­nam­ics, XFEM, and Im­mersed FEM/­SPG. Each of these meth­ods has its own ad­van­tages and par­tic­u­lar ap­pli­ca­tions in var­i­ous in­dus­tries, such as au­to­mo­tive, aero­space and de­fense.  We will overview and dis­cuss the LS-DY­NA key­words as­so­ci­at­ed with each method. The class al­so in­cludes nu­mer­ous in­dus­tri­al ap­pli­ca­tions for il­lus­tra­tion pur­pose. We will al­so off an in-class work­shop in which we will help you in­ter­pret the va­lid­i­ty of nu­mer­i­cal re­sults.


  • 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 & per­fo­ra­tion
      • Im­pact on met­al & con­crete tar­gets
    • Struc­tur­al fail­ure
      • Strength analy­sis of var­i­ous joints, such as SPR joints & spot welds
  • Peri­dy­nam­ics
    • Brit­tle fail­ure in isotrop­ic brit­tle ma­te­r­i­al
      • Im­pact on wind­shield
    • De­lam­i­na­tion & in-plane fail­ure in com­pos­ite lam­i­nates
  • XFEM
    • Duc­tile fail­ure (crack prop­a­ga­tion) in shell struc­tures
  • Im­mersed FEM/­SPG
    • Fail­ure in fiber re­in­forced com­pos­ites
      • Com­pres­sion mold­ing of CFRP, SPR of CFRP
    • Fail­ure in struc­tures con­nect­ed by mul­ti­ple joints (two-scale method)
      • Crash tube con­nect­ed by many bolts or FDS joints
      • Strength analy­sis of SPR joints of CFRP