Shear and foundation effects on crack root rotation and mode-mixity in moment- and force-loaded single cantilever beam sandwich specimen

Vishnu Saseendran*, Leif A. Carlsson, Christian Berggreen

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

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Abstract

Foundation effects play a crucial role in sandwich fracture specimens with a soft core. Accurate estimation of deformationcharacteristics at the crack front is vital in understanding compliance, energy release rate and mode-mixity infracture test specimens. Beam on elastic foundation analysis of moment- and force-loaded single cantilever beam sandwichfracture specimens is presented here. In addition, finite element analysis of the single cantilever beam specimen isconducted to determine displacements, rotations, energy release rate and mode-mixity. Based on finite element analysis,a foundation modulus is proposed that closely agrees with the numerical compliance and energy release rate results forall cases considered. An analytical expression for crack root rotation of the loaded upper face sheet provides consistentresults for both loading configurations. For the force-loaded single cantilever beam specimen (in contrast to themoment-loaded case), it was found that the crack length normalized energy release rate and the mode-mixity phaseangle increase strongly as the crack length decreases, a result of increased dominance of shear loading.
Original languageEnglish
JournalJournal of Composite Materials
Volume52
Issue number18
Pages (from-to)2537-2547
ISSN0021-9983
DOIs
Publication statusPublished - 2018

Keywords

  • Elastic foundation
  • Single cantilever beam
  • Root rotation
  • Face/core interface
  • Debond
  • Sandwich
  • DCB-UBM

Cite this

@article{4eb80fa504294cfda3d749fc0c437352,
title = "Shear and foundation effects on crack root rotation and mode-mixity in moment- and force-loaded single cantilever beam sandwich specimen",
abstract = "Foundation effects play a crucial role in sandwich fracture specimens with a soft core. Accurate estimation of deformationcharacteristics at the crack front is vital in understanding compliance, energy release rate and mode-mixity infracture test specimens. Beam on elastic foundation analysis of moment- and force-loaded single cantilever beam sandwichfracture specimens is presented here. In addition, finite element analysis of the single cantilever beam specimen isconducted to determine displacements, rotations, energy release rate and mode-mixity. Based on finite element analysis,a foundation modulus is proposed that closely agrees with the numerical compliance and energy release rate results forall cases considered. An analytical expression for crack root rotation of the loaded upper face sheet provides consistentresults for both loading configurations. For the force-loaded single cantilever beam specimen (in contrast to themoment-loaded case), it was found that the crack length normalized energy release rate and the mode-mixity phaseangle increase strongly as the crack length decreases, a result of increased dominance of shear loading.",
keywords = "Elastic foundation, Single cantilever beam, Root rotation, Face/core interface, Debond, Sandwich, DCB-UBM",
author = "Vishnu Saseendran and Carlsson, {Leif A.} and Christian Berggreen",
year = "2018",
doi = "10.1177/0021998317749714",
language = "English",
volume = "52",
pages = "2537--2547",
journal = "Journal of Composite Materials",
issn = "0021-9983",
publisher = "SAGE Publications",
number = "18",

}

Shear and foundation effects on crack root rotation and mode-mixity in moment- and force-loaded single cantilever beam sandwich specimen. / Saseendran, Vishnu; Carlsson, Leif A.; Berggreen, Christian.

In: Journal of Composite Materials, Vol. 52, No. 18, 2018, p. 2537-2547.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Shear and foundation effects on crack root rotation and mode-mixity in moment- and force-loaded single cantilever beam sandwich specimen

AU - Saseendran, Vishnu

AU - Carlsson, Leif A.

AU - Berggreen, Christian

PY - 2018

Y1 - 2018

N2 - Foundation effects play a crucial role in sandwich fracture specimens with a soft core. Accurate estimation of deformationcharacteristics at the crack front is vital in understanding compliance, energy release rate and mode-mixity infracture test specimens. Beam on elastic foundation analysis of moment- and force-loaded single cantilever beam sandwichfracture specimens is presented here. In addition, finite element analysis of the single cantilever beam specimen isconducted to determine displacements, rotations, energy release rate and mode-mixity. Based on finite element analysis,a foundation modulus is proposed that closely agrees with the numerical compliance and energy release rate results forall cases considered. An analytical expression for crack root rotation of the loaded upper face sheet provides consistentresults for both loading configurations. For the force-loaded single cantilever beam specimen (in contrast to themoment-loaded case), it was found that the crack length normalized energy release rate and the mode-mixity phaseangle increase strongly as the crack length decreases, a result of increased dominance of shear loading.

AB - Foundation effects play a crucial role in sandwich fracture specimens with a soft core. Accurate estimation of deformationcharacteristics at the crack front is vital in understanding compliance, energy release rate and mode-mixity infracture test specimens. Beam on elastic foundation analysis of moment- and force-loaded single cantilever beam sandwichfracture specimens is presented here. In addition, finite element analysis of the single cantilever beam specimen isconducted to determine displacements, rotations, energy release rate and mode-mixity. Based on finite element analysis,a foundation modulus is proposed that closely agrees with the numerical compliance and energy release rate results forall cases considered. An analytical expression for crack root rotation of the loaded upper face sheet provides consistentresults for both loading configurations. For the force-loaded single cantilever beam specimen (in contrast to themoment-loaded case), it was found that the crack length normalized energy release rate and the mode-mixity phaseangle increase strongly as the crack length decreases, a result of increased dominance of shear loading.

KW - Elastic foundation

KW - Single cantilever beam

KW - Root rotation

KW - Face/core interface

KW - Debond

KW - Sandwich

KW - DCB-UBM

U2 - 10.1177/0021998317749714

DO - 10.1177/0021998317749714

M3 - Journal article

VL - 52

SP - 2537

EP - 2547

JO - Journal of Composite Materials

JF - Journal of Composite Materials

SN - 0021-9983

IS - 18

ER -