A variational formulation of Griffith phase-field fracture with material strength

• Published in: International journal of fracture Vol. 247; no. 3; pp. 319 - 327
• Main Authors: Larsen, C. J., Dolbow, J. E., Lopez-Pamies, O.
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.09.2024; Springer Nature B.V
• Subjects: Automotive Engineering; Characterization and Evaluation of Materials; Civil Engineering; Classical Mechanics; Crack propagation; Energy; Engineering; Field theory; Mechanical Engineering; Nucleation; Optimization; Partial differential equations; Propagation; Stress state; Crack nucleation; Fracture energy; Brittle materials; Strength; Crack propagation

In this expository Note, it is shown that the Griffith phase-field theory of fracture accounting for material strength originally introduced by Kumar, Francfort, and Lopez-Pamies (J Mech Phys Solids 112, 523–551, 2018) in the form of PDEs can be recast as a variational theory. In particular, the sol...