Finite strain analysis of limestone / basaltic magma interaction and fracture: Low order mixed tetrahedron and remeshing

P. Areias, J. Carrilho Lopes, M. P. Santos, Timon Rabczuk, J. Reinoso

Research output: Contribution to journalArticle


In this investigation, we use a recent constitutive framework and remeshing technique for tetrahedra to analyze the pressure-driven crack propagation of limestone intruded by basaltic magma. Limestone is represented by an elasto-plastic capped Drucker-Prager model with an hypoelastic term in order to account for inelastic effects from plastic signature. Kinematic hardening is considered for limestone, whereas magma is modeled by means of a compressible Bingham fluid. Classical limit surfaces of the capped model are used to initiate the crack events in the limestone. Propagation is performed by a local remeshing technique with mesh smoothing for uncracked elements. Arnold's MINI element is used to avoid locking in the quasi-incompressible case. Verification (for limestone) examples and a crack propagation example in 3D are performed. A mesh convergence study is performed, exhibiting very promising results.

Original languageEnglish
Pages (from-to)235-247
Number of pages13
JournalEuropean Journal of Mechanics, A/Solids
Publication statusPublished - 2019 Jan 1
Externally publishedYes



  • Computational fracture
  • Dike intrusion
  • Limestone basaltic magma

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)

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