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Introduction to Particle Methods in LS-DYNA®


  • Bo Ren, Ph.D. (Peri­dy­nam­ics)
  • Jingx­i­ao Xu, Ph.D. (SPH)
  • You­cai Wu, Ph.D. (SPG)


  • $400
  • $200 for students

What's Included

  • Two days of in­struc­tion
  • Class notes
  • Thir­ty-day de­mo li­cense
  • Con­ti­nen­tal break­fast
  • Lunch
  • One din­ner

Introduction to Particle Methods in LS-DYNA®


Stu­dents should:

  • be fa­mil­iar with LS-Pre­Post®,
  • un­der­stand the ba­sic LS-DY­NA key­words,
  • and be able to run LS-DY­NA sim­u­la­tions.


This class cov­ers the three par­ti­cle meth­ods avail­able in LS-DY­NA: peri­dy­nam­ics, smoothed par­ti­cle Galerkin (SPG) and smoothed par­ti­cle hy­dro­dy­nam­ics (SPH). With these meth­ods the an­a­lyst can nat­u­ral­ly mod­el sit­u­a­tions lead­ing to dis­con­ti­nu­ities at short­er scales, crack for­ma­tion, and frag­men­ta­tion, for in­stance, with­out hav­ing to al­to­geth­er aban­don con­tin­u­um me­chan­ics for atom­istics. In ad­di­tion to cov­er­ing how to set-up LS-DY­NA sim­u­la­tions us­ing these meth­ods, this class will pro­vide the the­o­ret­i­cal back­ground of these meth­ods, a de­tailed de­scrip­tion of how these meth­ods are im­ple­ment­ed, and the nu­mer­i­cal ad­van­tages /­ dis­ad­van­tages of these meth­ods. This class in­cludes hands-on tu­to­ri­als.

  • Peri­dy­nam­ics. LS-DY­NA peri­dy­nam­ics is in­tend­ed for brit­tle frac­ture analy­sis in three di­men­sion­al solids. This method us­es a dis­con­tin­u­ous Galerkin fi­nite el­e­ment frame­work. It is most­ly used for frac­ture analy­sis of car wind­shields, win­dow glass and com­pos­ite ma­te­ri­als.
  • SPG. The SPG method is de­vel­oped for se­mi-brit­tle and duc­tile fail­ure analy­ses in three di­men­sion­al sol­id struc­tures. A bond-based fail­ure mech­a­nism mod­els ma­te­r­i­al fail­ure in var­i­ous man­u­fac­tur­ing and im­pact pen­e­tra­tion process­es, such as met­al fric­tion drilling, met­al ma­chin­ing, and high ve­loc­i­ty im­pact on con­crete and met­al tar­gets.
  • SPH. SPH is a La­grangian par­ti­cle method for mod­el­ing flu­id flows and sol­id bod­ies. For ex­treme­ly large de­for­ma­tion analy­sis, it can avoid the mesh dis­tor­tion is­sue of con­ven­tion­al FEM. It is suit­able for mod­el­ing com­plex free sur­face and ma­te­r­i­al in­ter­face be­hav­ior, such frag­men­ta­tion. SPH has been ap­plied ex­ten­sive­ly to in­com­press­ible flows, heat con­duc­tion and high ex­plo­sive prob­lems.