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Multi-scale analysis of elastic and debonding composites by an adaptive multi-level computational model

Raghavan, Prasanna
http://rave.ohiolink.edu/etdc/view?acc_num=osu1073013372

Abstract Details

2004, Doctor of Philosophy, Ohio State University, Mechanical Engineering.
In this thesis, an adaptive multi-level computational model is developed to comprehensively address issues of discretization and physically based modeling error in structures consisting of heterogeneous microstructures. The model consists of three essential levels, (i) a purely macroscopic domain (level-0) with homogenized material parameters; (ii) a macro-micro domain (level-1) with the micro-domain represented by the periodic repetition of a Representative Volume Element (RVE) and (iii) purely microscopic domain (level-2) where the RVE ceases to exist and extended microstructural regions need to be modeled. All microstructural computations of arbitrary heterogeneous domains are conducted using the adaptive Voronoi cell finite element model. Statistical functions are used to assess the extent of the RVE domains for non-uniform microstructures. For the macroscopic domains, h- and hp- adaptations are executed using conventional error indicators based on the energy norm. For composites with fiber/matrix interfacial debonding, a Continuum Damage Mechanics (CDM) model for level-0 analysis is constructed from rigorous VCFEM-based micromechanical analysis of the RVE followed by homogenization. An intermediate layer is used between the macroscopic and microscopic regions for smooth transition. Physically based error indicators are developed for transition from macroscopic to microscopic domain. The model is tested for a realistic problem with macroscopic stress risers to demonstrate the limitations of homogenized model and the effectiveness of the multi-scale in predicting accurate microscopic stresses. The numerical simulations with elastic and debonding composites are compared with results from pure micromechanics and other multi-level models in the literature.
Somnath Ghosh (Advisor)
181 p.
Engineering, Mechanical
Multi-scale; Composites; Voronoi Cell FEM; Homogenization; Continuum Damage Mechanics; Free Edge

Recommended Citations

Citations

  • Raghavan, P. (2004). Multi-scale analysis of elastic and debonding composites by an adaptive multi-level computational model [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1073013372

    APA Style (7th edition)

  • Raghavan, Prasanna. Multi-scale analysis of elastic and debonding composites by an adaptive multi-level computational model. 2004. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1073013372.

    MLA Style (8th edition)

  • Raghavan, Prasanna. "Multi-scale analysis of elastic and debonding composites by an adaptive multi-level computational model." Doctoral dissertation, Ohio State University, 2004. http://rave.ohiolink.edu/etdc/view?acc_num=osu1073013372

    Chicago Manual of Style (17th edition)

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© 2004, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.