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Advanced Numerical Methods for Material & Structural Failure Analysis


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


  • $400
  • $200 for students

What's Included

  • Two days of in­struc­tion
  • Class notes
  • Con­ti­nen­tal break­fasts
  • Lunch­es
  • One class din­ner

Advanced Numerical Methods for Material & Structural Failure Analysis


This is an in­ter­me­di­ate lev­el course. Stu­dents should un­der­stand the ba­sic LS-DY­NA® key­words and be able to run LS-DY­NA sim­u­la­tions.


Dur­ing this course, we will in­tro­duce ma­te­r­i­al and struc­tur­al fail­ure analy­sis us­ing ad­vanced nu­mer­i­cal meth­ods rather than us­ing ma­te­r­i­al con­sti­tu­tive laws and el­e­ment/­ma­te­r­i­al dele­tion. We will dis­cuss three meth­ods:

  • Smoothed Par­ti­cle Galerkin (SPG),
  • Peri­dy­nam­ics,
  • and Im­mersed FEM/­SPG.

With each of these meth­ods, con­ser­va­tion laws are sat­is­fied such that re­li­able force re­spons­es and phys­i­cal de­for­ma­tion modes can be ob­tained.

We will overview each of these meth­ods as well as the LS-DY­NA key­words as­so­ci­at­ed with these meth­ods. We will dis­cuss the ad­van­tages/­dis­ad­van­tages of these meth­ods, in­clud­ing ide­al ap­pli­ca­tions for these meth­ods for var­i­ous in­dus­tries, such as au­to­mo­tive, aero­space, and de­fense. We will il­lus­trate these meth­ods with nu­mer­ous in­dus­tri­al ap­pli­ca­tions as well as an in-class work­shop. We will al­so cov­er how to in­ter­pret nu­mer­i­cal re­sults to as­sure the physics has been prop­er­ly re­stored.


  • 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
      • Im­pact on wind­shield
    • De­lam­i­na­tion and in-plane fail­ure in com­pos­ite lam­i­nates
  • 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