ES525 THEORY OF CONTINUOUS MEDIA I
| Course Code: | 5610525 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Engineering Sciences |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | Prof.Dr. SERDAR GÖKTEPE |
| Offered Semester: | Fall Semesters. |
Course Objectives
This course aims to
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equip students with essential knowledge about non-linear theory of continuous media.
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make students assimilate kinematics of continum at large strains.
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teach students the concept of stress and fundamental stress measures.
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provide students with the essential balance principles of continuum thermomechanics.
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give the fundamentals of constitutive theory and particularly hyperelasticity along with its algorithmic implementation.
Course Content
Review of tensor analysis and integral theorems. Kinematics of deformation, strain tensor, compatibility condition. Material derivative of tensors, deformation rate, spin and vorticity. External and internal loads, Cauchy principle and stress tensor. Balance laws of momenta and energy, entropy principle. Constitutive theory and its axioms, thermomechanical materials. Some illustrative applications.
Course Learning Outcomes
Taking this course, the students will
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have an essential background on the non-linear theory of continuous media.
- be able to carry out geometic pull-back and push-forward operations between Lagrangian, Eulerian, and mixed quantities through the tools of kinematics at large strains.
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know the concept of stress and fundamental stress measures
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have the fundamental understanding of thermodynamic consistency of a constitutive model of continuum thermomechanics.
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be qualified to derive the fundamental balance principles of continuum thermomechanics in the Lagrangian and Eulerian setting.
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be in a position to implement a hyperelastic material model.