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Connecting beams and continua: variational basis and mathematical analysis

2019/09/07 by Ignacio Romero, Romero, Ignacio
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Dynamics and Control of Mechanical Systems #Elasticity and Material Modeling #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical Analysis (math.NA) #Structural Analysis and Optimization #cs.NA #math-ph #math.MP #math.NA

paper · pdf · doi:10.48550/arxiv.1909.04025

arxiv created 2019/09/07 · openalex publication_date 2019/09/07 · arxiv updated 2019/09/11 · openalex created_date 2023/09/10 · openalex updated_date 2026/07/28

Abstract

We present a new variational principle for linking models of beams and deformable solids, providing also its mathematical analysis. Despite the apparent differences between the two types of governing equations, it will be shown that the equilibrium of systems combining beams and solids can be obtained from a joint constrained variational principle and that the resulting boundary-value problem is well posed.

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