Monolithic coupling of the implicit material point method with the finite element method

Eugenio Aulisa, Giacomo Capodaglio

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


A monolithic coupling between the material point method (MPM) and the finite element method (FEM) is presented. The MPM formulation described is implicit, and the exchange of information between particles and background grid is minimized. The reduced information transfer from the particles to the grid improves the stability of the method. Once the residual is assembled, the system matrix is obtained by means of automatic differentiation. In such a way, no explicit computation is required and the implementation is considerably simplified. When MPM is coupled with FEM, the MPM background grid is attached to the FEM body and the coupling is monolithic. With this strategy, no MPM particle can penetrate a FEM element, and the need for computationally expensive contact search algorithms used by existing coupling procedures is eliminated. The coupled system can be assembled with a single assembly procedure carried out element by element in a FEM fashion. Numerical results are reported to display the performances and advantages of the methods here discussed.

Original languageEnglish
Pages (from-to)1-15
Number of pages15
JournalComputers and Structures
StatePublished - Jul 15 2019


  • Automatic differentiation
  • Finite element method
  • Implicit material point method
  • MPM-FEM coupling
  • Monolithic coupling


Dive into the research topics of 'Monolithic coupling of the implicit material point method with the finite element method'. Together they form a unique fingerprint.

Cite this