MAE 541 Advanced Solid Mechanics I
3 Credit Hours
Development of principles of advanced strength of materials and elasticity theory leading to solution of practical engineering problems concerned with stress and deformation analysis. Tensor analysis, coordinate transformations, alternative measures of strain, elastic constitutive equations, stress measures, formulation and solution of two and three dimensional elasticity problems. Examples include advanced beam theory for shear deformation and large deformation, contact mechanics, hole in a tensile field, and notch/crack problems.
Prerequisites
MAE 316 Strength of Mechanical Components or equivalent courses in solid mechanics.
Course Objectives
The student will acquire a fundamental understanding of the principles of advanced solid mechanics as well as increased confidence in solving practical engineering problems concerned with stress and deformation analysis. Attention will be focused on two-dimensional elastic problems; advanced beam theory, contact mechanics, stress concentration, and thermal stress analysis.
Course Outline
- Introduction and mathematical preliminaries
- Deformation
- Strain and stress
- Constitutive relations
- Linear elasticity problems
- 2D elasticity formulation
- 2D elasticity solution
Course Requirements
Regular assignments (every one or two weeks), one midterm and one final exam, final project, basic requirement on coding and computing using Matlab.
Textbooks
- Elasticity: theory, applications, and numerics, Martin H. Sadd, Elsevier/AP, 3rd edition, 2014, ISBN: 0124081363 (available in Moodle)
- Theory of Elasticity – a first course on fundamental principles and methods of analysis, James F. Doyle and C-T. Sun (available in Moodle)
- Elasticity, James R. Barber, Springer, 3rd edition, 2010, ISBN: 9400731019 (available through NCSU library)
Software Requirements
Matlab.
Updated: 06/02/2025
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