Continuum Modeling of Discrete Structures with Geometric Nonlinearitiesby Segun Thomas, Brown & Root Inc, Marine, Engineering Div, Houston, TX, USA,
Abstract: The modeling of geometrically non-linear discrete structures by an equivalent continuum is presented. The discrete-continuum analogy is developed by first isolating a unit cell of the structure then replacing it with an equivalent continuum element. To define a continuum representation of the discrete model, equations of equilibrium for the discrete analytical model are derived, then stress-strain equations for an equivalent continuum are defined by relating model point-loads to continuum stresses and member extensions and rotation to continuum strains.
Subject Headings: Continuum mechanics | Structural models | Stress analysis | Structural behavior | Geometrics | Stress strain relations | Structural members
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