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

Abstract

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.

LanguageEnglish
Pages235-247
Number of pages13
JournalEuropean Journal of Mechanics, A/Solids
Volume73
DOIs
Publication statusPublished - 2019 Jan 1

Fingerprint

Finite Strain
Remeshing
Calcium Carbonate
Triangular pyramid
limestone
Crack Propagation
Limestone
tetrahedrons
magma
Mesh Smoothing
Bingham Fluid
Classical Limit
Compressible Fluid
Locking
Elasto-plastic
Hardening
Interaction
crack propagation
Plastics
Kinematics

Keywords

  • Computational fracture
  • Dike intrusion
  • Limestone basaltic magma

ASJC Scopus subject areas

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

Cite this

Finite strain analysis of limestone / basaltic magma interaction and fracture : Low order mixed tetrahedron and remeshing. / Areias, P.; Lopes, J. Carrilho; Santos, M. P.; Rabczuk, Timon; Reinoso, J.

In: European Journal of Mechanics, A/Solids, Vol. 73, 01.01.2019, p. 235-247.

Research output: Contribution to journalArticle

Areias, P. ; Lopes, J. Carrilho ; Santos, M. P. ; Rabczuk, Timon ; Reinoso, J. / Finite strain analysis of limestone / basaltic magma interaction and fracture : Low order mixed tetrahedron and remeshing. In: European Journal of Mechanics, A/Solids. 2019 ; Vol. 73. pp. 235-247.
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