AI SearchDevelopment of a novel finite rigid body element with embodied continuum theory
Call Number: AIT Thesis no.ST-25-10 Material type:
SeriesSeries: Asian Institute of Technology. Thesis ; no. ST-25-10Publication details: Pathum Thani, Thailand : Asian Institute of Technology, 2025Description: 128 leaves : ill.+ 1 online resourceSubject(s): Online resources: Dissertation note: Thesis (M. Eng.) - Asian Institute of Technology, 2025 Summary: This study presents a novel finite rigid body formulation derived from continuum mechanics principles, enabling accurate lateral deformation prediction without iterative calculations. By adapting finite element method (FEM) continuum derivations, the proposed approach achieves explicit modeling of Poisson-induced deformations in rigid body systems{u2014}a longstanding challenge in computational mechanics. The framework is validated through numerical biaxial and uniaxial compression tests on concrete specimens, demonstrating exact agreement with theoretical elastic-stage predictions (e.g., lateral strain matching p*f{u2093} for p = 0.2).Key innovations include: (1) a non-iterative deformation mapping technique that preserves volume constraints, and (2) a mechanical-based stiffness formulation bridging rigid body dynamics and continuum response. Results show {u2264}5% error in Von Mises stress capture compared to analytical solutions, outperforming conventional rigid body methods that require ad-hoc Poisson coupling. This work advances multiscale modeling by enabling efficient rigid-body-scale simulations with inherent continuum deformation properties, particularly beneficial for quasi-brittle materials like concrete under service loads.
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Asian Institute of Technology Library Archives | AIT Thesis no.ST-25-10 (Browse shelf(Opens below)) | 1 | Not for loan |
A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering in Structural Engineering
Thesis (M. Eng.) - Asian Institute of Technology, 2025
This study presents a novel finite rigid body formulation derived from continuum mechanics principles, enabling accurate lateral deformation prediction without iterative calculations. By adapting finite element method (FEM) continuum derivations, the proposed approach achieves explicit modeling of Poisson-induced deformations in rigid body systems{u2014}a longstanding challenge in computational mechanics. The framework is validated through numerical biaxial and uniaxial compression tests on concrete specimens, demonstrating exact agreement with theoretical elastic-stage predictions (e.g., lateral strain matching p*f{u2093} for p = 0.2).Key innovations include: (1) a non-iterative deformation mapping technique that preserves volume constraints, and (2) a mechanical-based stiffness formulation bridging rigid body dynamics and continuum response. Results show {u2264}5% error in Von Mises stress capture compared to analytical solutions, outperforming conventional rigid body methods that require ad-hoc Poisson coupling. This work advances multiscale modeling by enabling efficient rigid-body-scale simulations with inherent continuum deformation properties, particularly beneficial for quasi-brittle materials like concrete under service loads.
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