CE522 NONLINEAR PROCEDURES IN FINITE ELEM.AN.

Course Code:5620522
METU Credit (Theoretical-Laboratory hours/week):3 (3.00 - 0.00)
ECTS Credit:8.0
Department:Civil Engineering
Language of Instruction:English
Level of Study:Graduate
Course Coordinator:Prof.Dr. CEM TOPKAYA
Offered Semester:Fall or Spring Semesters.

Course Objectives

  • Introduce the fundamental concepts and mathematical formulations of materially and geometrically nonlinear problems in solid mechanics.

  • Develop an understanding of the microstructural origins of nonlinear material behavior, including plasticity, viscoplasticity, and creep.

  • Equip students with numerical methods and computational strategies for solving nonlinear equations governing the mechanical behavior of materials and structures.


Course Content

Materially and Geometrically Nonlinear Problems in Engineering, Incremental Equations of Motion for Nonlinear Problems in Solid Mechanics, General Procedures for the Solution of Nonlinear Equations of Discrete Problems, Microstructural Basis for Material Nonlinearities, Rheological Models for Basic Modes of Material Behaviour, Instantaneous Plasticity and Numeric Procedures for Instentaneous Plastic Material Behaviour, Viscoplasticity and Creep, Numerical Procedures for Viscoplastic Analysis.


Course Learning Outcomes

  • Formulate and solve incremental equations of motion for nonlinear solid mechanics problems involving large deformations and inelastic material behavior.

  • Implement numerical algorithms for simulating plastic and viscoplastic material responses, including time-dependent phenomena such as creep.

  • Analyze and model material nonlinearities using rheological models and interpret their connection to microstructural mechanisms.


Program Outcomes Matrix

Contribution
#Program OutcomesNoYes
1Conducts research to investigate and solve advanced civil engineering problems using appropriate scientific methods and acquires the fundamental knowledge to evaluate the results.
2Reviews and synthesizes relevant literature to identify the current state of the art.
3Engages in lifelong learning and professional development, and gains familiarity with emerging practices.
4Formulates and solves complex civil engineering problems by selecting and applying appropriate tools and techniques.
5Communicates effectively in written and oral forms, particularly in conveying research processes and outcomes to diverse audiences.
6Upholds professional and ethical responsibility in research, with an awareness of global, societal, environmental, and scientific contexts.