EN0175-Intro

EN0175-Intro - Semester II, 2005-2006, EN0292-S33, Prof....

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Unformatted text preview: Semester II, 2005-2006, EN0292-S33, Prof. Huajian Gao, Barrus & Holley 610, 863-2626 EN0175 Advanced Mechanics of Solids Huajian Gao Office: Barus & Holley 610 Phone: 863-2626 Email: Huajian_Gao@Brown.edu http://www.engin.brown.edu/courses/en175/ Semester II, 2005-2006, EN0292-S33, Prof. Huajian Gao, Barrus & Holley 610, 863-2626 Course Outline 1. Introduction 1.1 Scope of the course 1.2 Basic concepts of solid mechanics 1.3 Overview of finite element method in computational solid mechanics 2. Mathematical background 2.1 Vector algebra 2.2 Index notations 2.3 Matrices and tensors 2.4 Vector and tensor calculus 3. Stress in a solid 3.1 Body forces, surface forces and traction vector at a point on the surface 3.2 Stress tensor at a point 3.3 Principal stresses at a point 3.4 Balance of momentum and equilibrium equations 4. Strain in a solid 4.1 Displacement field in a deformed solid 4.2 Strain tensor in a Solid 4.3 Principal strains at a point 4.4 Compatibility conditions on a strain field 4.5 Principal strains at a point 5. Mechanical Behavior of Solids 5.1 Role of experiments in solid mechanics 5.2 Elastic material behavior 5.3 Plastic material behavior 5.4 Viscoelastic material behavior 6. Boundary value problems for linear elastic solids 6.1 Field equations for plane strain deformation 6.2 Thick walled pressure vessel 6.3 Field equations for plane stress deformation 6.3 Plate with hole in tension, stress concentration 7. Variational methods for elastic solids 7.1 Principle of virtual work 7.2 Variational statement of governing equations 7.3 Work and energy theorems in solid mechanics 7.4 Derivations of field equations for thin plate in bending 8. The finite element method for numerical analyses 8.1 Finite elements 8.2 Element interpolation functions 8.4 Element strains, stresses and strain energy density 8.5 Element Stiffness Matrix 8.6 Global Stiffness Matrix 8.7 Boundary Loading 9. Boundary value problems for elastic-plastic materials 9.1 Tension-torsion of thin walled tubes 9.2 Plastic limit load 9.3 Approximate methods in metal forming 10. Failure modes in solid mechanics 10.1 Fracture 10.2 Fatigue 10.3 Buckling 10.4 Large deflections 10.5 Plastic collapse Semester II, 2005-2006, EN0292-S33, Prof. Huajian Gao, Barrus & Holley 610, 863-2626 Scope of the Course: Theory & computation in Mechanics of Deformable Solid strain Displacement Stress boundary value problem Momentum balance (equilibrium) Material behavior (stress-strain) Compatibility (strain-displacement) Theory Computation Semester II, 2005-2006, EN0292-S33, Prof. Huajian Gao, Barrus & Holley 610, 863-2626 Prerequisites for the course EN31 Mechanics of Solids and Structures Mechanical behavior of materials and analysis of stress and deformation in engineering structures and continuous media. Topics include concepts of stress and strain; the elastic, plastic, and time- dependent response of materials; principles of structural analysis and application to simple bar structures, beam theory, instability and buckling, torsion of shafts; general three-dimensional states...
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EN0175-Intro - Semester II, 2005-2006, EN0292-S33, Prof....

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