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Mechanical Engineering Commons

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All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

2011

Finite Element Method

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Full-Text Articles in Mechanical Engineering

Asymptotic Multiphysics Modeling Of Composite Beams, Qi Wang Dec 2011

Asymptotic Multiphysics Modeling Of Composite Beams, Qi Wang

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

A series of composite beam models are constructed for efficient high-fidelity beam analysis based on the variational-asymptotic method (VAM). Without invoking any a priori kinematic assumptions, the original three-dimensional, geometrically nonlinear beam problem is rigorously split into a two-dimensional cross-sectional analysis and a one-dimensional global beam analysis, taking advantage of the geometric small parameter that is an inherent property of the structure.

The thermal problem of composite beams is studied first. According to the quasisteady theory of thermoelasticity, two beam models are proposed: one for heat conduction analysis and the other for thermoelastic analysis. For heat conduction analysis, two different …


Investigation Of The Design And Static Behavior Of Cylindrical Tubular Composite Adhesive Joints Utilizing The Finite Element Method And Stress-Based Failure Theories, Michael D. Lambert May 2011

Investigation Of The Design And Static Behavior Of Cylindrical Tubular Composite Adhesive Joints Utilizing The Finite Element Method And Stress-Based Failure Theories, Michael D. Lambert

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The stress and strength behavior of cylindrical tubular adhesive joints composed of dissimilar materials was explored. This was accomplished with the finite element method (FEM) and stress-based failure theories. Also, it was shown how a design of experiments (DOE) based method can be used to objectively organize the process of optimizing joint strength by using stress-based failure criteria.

The finite element program used in this work was written in-house from scratch to implement the FEM for the purpose of solving both axisymmetric and three-dimensional linear elastic governing equations of static equilibrium. The formulation of the three-dimensional model is presented, and …