chap6 - CHAPTER 6: 3D SOLIDS A 3D solid can have any shape,...

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1 CHAPTER 6: 3D SOLIDS A 3D solid can have any shape, size, boundary conditions, etc. All six stress components and all three displacement components must be considered.
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2 AXISYMMETRIC SOLID A solid of revolution generated by revolving a plane shape about an axis in the plane. Nothing varies with the circumferential coordinate θ if loads, supports and elastic properties are also axisymmetric. No circumferential displacement and τ r θ = τ θ z =0. The problem is mathematically two-dimensional and is usually modeled with plane triangles and quadrilaterals. Hence we model a longitudinal cross-section for R in < r < R out .
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3 Axisymmetric Solid Example
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4 Constitutive Equation in 3D where σ 0 is the initial stress produced by the temperature change and
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5 Constitutive Equation for Axial Symmetry
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6 Strain-Displacement Relations Strain-Displacement Relations in Cartesian Coordinates: Strain-Displacement Relations for a solid of revolution in cylindrical coordinates:
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This note was uploaded on 06/06/2011 for the course EAS 4240 taught by Professor Peterifju during the Spring '08 term at University of Florida.

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chap6 - CHAPTER 6: 3D SOLIDS A 3D solid can have any shape,...

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