A discussion on gradient damage and phase-field models for brittle fracture

René De Borst, Clemens V. Verhoosel

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

4 Citations (Scopus)

Abstract

Gradient-enhanced damage models find their roots in damage mechanics, which is a smeared approach from the onset, and gradients were added to restore well-posedness beyond a critical strain level. The phase-field approach to brittle fracture departs from a discontinuous description of failure, where the distribution function is regularised, which also leads to the inclusion of spatial gradients. Herein, we will consider both approaches, and discuss their similarities and differences.

LanguageEnglish
Title of host publicationAdvanced Methods of Continuum Mechanics for Materials and Structures
EditorsK. Naumenko, M. Aßmus
Place of PublicationSingapore
PublisherSpringer
Pages263-277
Number of pages15
ISBN (Print)978-981-10-0958-7, 978-981-10-0959-4
DOIs
StatePublished - 2016

Publication series

NameAdvanced Structured Materials
Volume60
ISSN (Print)18698433
ISSN (Electronic)18698441

Fingerprint

Brittle fracture
Distribution functions
Mechanics

Cite this

De Borst, R., & Verhoosel, C. V. (2016). A discussion on gradient damage and phase-field models for brittle fracture. In K. Naumenko, & M. Aßmus (Eds.), Advanced Methods of Continuum Mechanics for Materials and Structures (pp. 263-277). (Advanced Structured Materials; Vol. 60). Singapore: Springer. DOI: 10.1007/978-981-10-0959-4_14
De Borst, René ; Verhoosel, Clemens V./ A discussion on gradient damage and phase-field models for brittle fracture. Advanced Methods of Continuum Mechanics for Materials and Structures. editor / K. Naumenko ; M. Aßmus. Singapore : Springer, 2016. pp. 263-277 (Advanced Structured Materials).
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De Borst, R & Verhoosel, CV 2016, A discussion on gradient damage and phase-field models for brittle fracture. in K Naumenko & M Aßmus (eds), Advanced Methods of Continuum Mechanics for Materials and Structures. Advanced Structured Materials, vol. 60, Springer, Singapore, pp. 263-277. DOI: 10.1007/978-981-10-0959-4_14

A discussion on gradient damage and phase-field models for brittle fracture. / De Borst, René; Verhoosel, Clemens V.

Advanced Methods of Continuum Mechanics for Materials and Structures. ed. / K. Naumenko; M. Aßmus. Singapore : Springer, 2016. p. 263-277 (Advanced Structured Materials; Vol. 60).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

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De Borst R, Verhoosel CV. A discussion on gradient damage and phase-field models for brittle fracture. In Naumenko K, Aßmus M, editors, Advanced Methods of Continuum Mechanics for Materials and Structures. Singapore: Springer. 2016. p. 263-277. (Advanced Structured Materials). Available from, DOI: 10.1007/978-981-10-0959-4_14