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    <subfield code="a">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. </subfield>
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