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On the constitutive relation of materials with microstructure using a potential-based cohesive model for interface interaction |
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| Authors: | Duc Ngo Yonggang Huang |
| Affiliation: | a Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, United States b Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, United States c Department of Civil and Environmental Engineering, Northwestern University, IL 60208, United States d Department of Mechanical Engineering, Northwestern University, IL 60208, United States |
| Abstract: | Macroscopic constitutive relationship is estimated by considering the microscopic particle/matrix interfacial debonding. For the interfacial debonding, the PPR potential-based cohesive model is utilized. The extended Mori-Tanaka model is employed for micromechanics, while a finite element-based cohesive zone model is used for the computational model. Both models (theoretical and computational) agree well each other in representing the macroscopic constitutive relationship on the basis of the PPR model. The microscopic interfacial cohesive parameters of the PPR model are estimated from macroscopic composite material behavior. In addition, different microscopic debonding processes are observed with respect to different macroscopic constitutive relationships (e.g. hardening, softening, and snap-back). |
| Keywords: | PPR model Micromechanics (Mori-Tanaka method) Cohesive zone model Particle/matrix debonding Upscaling |
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