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Elective - Professional |
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- To introduce students to the fundamental concepts, theories, and numerical methods for analyzing nonlinear problems in structural and solid mechanics.
- To enable students to identify different types of nonlinearities (geometric, material, and boundary) and understand their effects on system behavior.
- To provide knowledge of numerical solution strategies and iterative algorithms used in nonlinear analysis, with emphasis on convergence and stability.
- To develop the ability to model and analyze nonlinear problems using finite element software tools.
- To prepare students for research and professional practice in the analysis and design of nonlinear structural and mechanical systems. |
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Linear Finite Element Method |
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- Identify and explain different types of nonlinearities.
- Formulate governing equations for nonlinear problems.
- Apply numerical methods and iterative algorithms.
- Model and analyze nonlinear problems using FEM software.
- Assess accuracy, stability, and convergence of results.
- Present results through reports or projects. |
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- Lectures: Presentation of theoretical concepts with illustrative examples.
- Problem-solving sessions: Step-by-step analysis of selected nonlinear problems.
- Software practice: Hands-on training in modeling and analyzing nonlinear problems using FEM software.
- Course project: A case study or small research project to enhance practical understanding.
- Class discussions and student participation: Encouraging presentations, critical thinking, and peer feedback. |
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- Participating in class and discussions
- Doing homework
- Learning required software |
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3- Introduction to Nonlinear Finite Element Analysis; by N.H. Kim
4- Non-Linear Finite Element Analysis of Solids and Structures; by M.A. Crisfield
5- Advance Numerical Techniques to Solve Linear and Nonlinear Differential Equations; by G. Arora & M. Ram |
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- Class lecture notes
- Reference books
- Required software |
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Final Exam 35%
Homework 30%
Project 35% |
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Pdf File |