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wiki:sns:sns2014:linear_static_analysis

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Linear Static Analysis

Structural analysis aims to predict deformation and stresses in a body (or collection of bodies) that is restrained from moving and is subjected to external forces (loads). Different theoretical models of structural analysis have been developed to simulate a variety of realistic physical behaviors and phenomena. The simplest and the most widely used type of structural analysis is linear static analysis, based on theory of lineary elasticity.

Like all numerical simulations methods, Scan&Solve™ numerically approximates this idealized model of linear elasticity within some limited precision. As such, Scan&Solve™ can provide insight into structural properties of solid shapes and help in choosing the best available alternative. However, numerical simulation of an idealized mathematical model is not a substitute for physical testing and should not be relied upon for critical design decisions.

Mathematical Model: Linear Elasticity

Scan&Solve™ simulates linear static behavior of 3D solids based on mathematical theory of linear elasticity which approximates physical reality in many common situations. Like all mathematical models, linear elasticity idealizes physical reality, making a number of simplifying assumptions.

Static: This assumption neglects all dynamic (time-varying) forces and amounts to assuming that all loads are increased slowly to the specified magnitudes, and then remain constant.

Elastic: No permanent deformation takes place, and the body returns to its original shape if the loads are removed.

Linearity: Model deformations (displacements) are linearly proportional to applied loads (forces). For example, doubling the magnitude of the force will double the magnitude of the resulting deformations.

Linear static analysis predicts the magnitude of stresses and elastic displacements within the body. In locations where the magnitude of stresses exceed certain levels, linear static analysis predicts material failure based on several experimentally verified failure criteria. The type of failure depends on the type of material and the stress levels; linear static analysis cannot predict whether failure results in large permanent deformation, cracks, or breakage, but only that the stresses and displacements will exceed the elastic limit of the material.

wiki/sns/sns2014/linear_static_analysis.1499897218.txt.gz · Last modified: 2017/07/12 16:06 by claire