Effect of particle distribution on initial cracks forming from notch tips of composites with hard particles embedded in a soft matrix

Kwon, Young W.; Liu, C.T.

doi:10.1016/s1359-8368(00)00056-1

Cited by 9 publications

(7 citation statements)

References 13 publications

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“…The results show that the radial stress, 22 , reaches a maximum value at the polar region, which leads to the conclusion that the debonding of the matrix from the particles will start in this region and will propagate towards the equator of the inclusion. This conclusion is also supported by experiments [10], which demonstrate that the debonding at the polar region of the particles is in the form of initial damage. Hence, the criterion of initial damage can be specified as follows: when the radial stress in the polar zone reaches a critical value, then initial damage occurs.…”

Section: Numerical Estimation Of the Stress Distribution Within The Csupporting

confidence: 59%

Numerical investigation of the stress field of particulate reinforced polymeric composites subjected to tension

Kakavas¹,

Kontoni²

2005

Numerical Meth Engineering

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SUMMARYThe aim of the present study is the detailed numerical investigation of the stress/strain distribution in polymeric matrix composites reinforced with spherical inclusions, using the finite element method (FEM). Perfect adhesion between the matrix and the inclusions was assumed and from the computed stress/strain profiles of the system, debonding initiation and propagation can easily be predicted. Analytical models available in the literature may predict the stress/strain distribution within the inclusion and along the matrix/inclusion interface, while the FEM may yield results for the whole composite, including within the inclusions. Three typical volume fractions of the composite were examined and the results were justified by the analytical predictions of other researchers. The numerical results show that the matrix starts to debond from the inclusions at angular distance forty-five degrees and as the applied load increases the debonding zone gradually extends.

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Section: Numerical Estimation Of the Stress Distribution Within The Csupporting

confidence: 59%

Numerical investigation of the stress field of particulate reinforced polymeric composites subjected to tension

Kakavas¹,

Kontoni²

2005

Numerical Meth Engineering

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“…For the cohesive model described by (24), the cohesive fracture energy per unit area of the cohesive surface is given by…”

Section: Finite Strain Irreversible Cohesive Lawmentioning

confidence: 99%

“…Other approaches rely on micromechanics [5,24,25]. Most theories, however, are based on phenomenological continuum models of various features of the constitutive response of filled elastomers.…”

Section: Introductionmentioning

confidence: 99%

Multiscale modelling of particle debonding in reinforced elastomers subjected to finite deformations

Matouš

Geubelle

2005

Numerical Meth Engineering

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SUMMARYInterfacial damage nucleation and evolution in reinforced elastomers subjected to finite strains is modelled using the mathematical theory of homogenization based on the asymptotic expansion of unknown variables. The microscale is characterized by a periodic unit cell, which contains particles dispersed in a blend and the particle matrix interface is characterized by a cohesive law. A novel numerical framework based on the perturbed Petrov-Galerkin method for the treatment of nearly incompressible behaviour is employed to solve the resulting boundary value problem on the microscale and the deformation path of a macroscale particle is predefined as in the micro-history recovery procedure. A fully implicit and efficient finite element formulation, including consistent linearization, is presented. The proposed multiscale framework is capable of predicting the non-homogeneous microfields and damage nucleation and propagation along the particle matrix interface, as well as the macroscopic response and mechanical properties of the damaged continuum. Examples are considered involving simple unit cells in order to illustrate the multiscale algorithm and demonstrate the complexity of the underlying physical processes.

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“…The developed time-independent constitutive model was incorporated in a computer code, which was used to predict the initial crack length in high stress regions in an analogy specimen under a multi-axial loading condition (7)(8)(9)(10). The results are discussed in the following paragraphs.…”

Section: Summary Of Accomplishments: Task 1: Investigating the Effectmentioning

confidence: 99%

Material Mechanics Research

Liu¹

2003

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Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing this collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden to Department of Defense, Washington Headquarters Services, Directorate for Information Operations and Reports (0704-0188), 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to any penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. PLEASE DO NOT RETURN YOUR FORM TO THE ABOVE ADDRESS. REPORT DATE (DD-MM-YYYY) SPONSORING / MONITORING AGENCY NAME(S) AND ADDRESS(ES) 10. SPONSOR/MONITOR'S ACRONYM(S)Air Force Research Laboratory (AFMC) AFRL/PRSM SPONSOR/MONITOR'S REPORT10 E. Saturn Blvd. NUMBER(S)Edwards AFB CA 93524-7680 AFRL-PR-ED-TR-2003-0006 DISTRIBUTION / AVAILABILITY STATEMENTApproved for public release; distribution unlimited; February 2003. SUPPLEMENTARY NOTES ABSTRACTThis report covers results of research addressing cumulative damage and crack growth behavior in a solid propellant and interfacial fracture of bi-material bonded systems. The program's basic approach involves a blend of analytical and experimental studies. In general, mechanisms and mechanics involved in cohesive fracture in the solid propellant and adhesive fracture in the bi-material bonded systems are emphasized. The results of both analytical and experimental analyses are evaluated and discussed. SUBJECT TERMS

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Effect of particle distribution on initial cracks forming from notch tips of composites with hard particles embedded in a soft matrix

Cited by 9 publications

References 13 publications

Numerical investigation of the stress field of particulate reinforced polymeric composites subjected to tension

Numerical investigation of the stress field of particulate reinforced polymeric composites subjected to tension

Multiscale modelling of particle debonding in reinforced elastomers subjected to finite deformations

Material Mechanics Research

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