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Finite Elements Principles and Practices - Fall 03 FEA Course Lecture VI – Outline UCSD - 11/06/03 Review of Last Lecture (V) on Heat Transfer Analysis. 3D Elements 1.Summary of Concepts of Heat Transfer 2.Thermal Loads and Boundary Conditions 3.Nonlinear Effects 4.Thermal transients and Modeling Considerations 5.Example FE

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Finite Elements Principles and Practices - Fall 03 Introduction to 3D Finite Elements Analysis 3D Solid Elements: Three dimensional solid that is unrestricted as to shape, loading, material properties and boundary conditions. Six stress components and three displacements components are considered. Beam bending, plane stress and plate bending are all special cases of a 3D solid. Solids of Revolution: [Also called Axisymmetric Solid]. These are obtained by revolving a plane figure about an axis in the plane (i.e., nothing varies with the circumferential coordinate, Theta). Material points displace only radially and axially and shear stresses ( ) and ( ) are both zero. r z

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Finite Elements Principles and Practices - Fall 03 Kinematics in 3D Finite Elements Analysis Stress-Strain relationship = E a) 3D Solid b) Axisymmetric Solid and Isotropic Material r z

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Finite Elements Principles and Practices - Fall 03 Kinematics in 3D Finite Elements Analysis Strain-displacement Relationships a) 3D solid b) axisymmetric Some notes on Connecting Different Elements – do not mix axisymmetric with plane elements.

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Finite Elements Principles and Practices - Fall 03 3D FEA FEs for 3D Solids SOLID45 – 8 node brick. SOLID65 –models Reinforced Concrete SOLID72 – 4 node tetrahedral SOLID73 - 8-node brick (6 dof) SOLID92 – 10 node tetrahedral

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Finite Elements Principles and Practices - Fall 03 ANSYS Example Page 716 – Heat Transfer Problem.

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Theory of Elasticity Theory of elasticity governs response – Symmetric stress & strain components Governing equations – Equilibrium equations (3) – Strain-displacement.

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