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Load:
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1. komponenta
| Lecture type | Total |
| Lectures |
45 |
* Load is given in academic hour (1 academic hour = 45 minutes)
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Description:
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COURSE AIMS AND OBJECTIVES: Introduction to modern theory of elasticity, foundation of the theory and modelling. Derivation of lower dimensional models by asymptotic expansion method. Linearized elasticity, existence results.
COURSE DESCRIPTION AND SYLLABUS:
1. Deformation, strain tensor, motion, examples. Conservation laws, stress tensor, the Cauchy theorem, equation of motion. (4 weeks)
2. Constitutive equations, principles of rheology, elastic body, elasticity tensor, linearized elasticity, existence of solution, examples. (4 weeks)
3. Elactic rods and plates, derivation of models by asymptotic expansion method, existence tesults, examples. (4 weeks)
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Literature:
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An Introduction to Continuum Mechanics, M. E. Gurtin, Academic Press, 1981.
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Uvod u rubne zadaće mehanike kontinuuma, I. Aganović, Element, Zagreb, 2003.
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Introduction a la mecanique des milieux continus, P. Germain, P. Muller, Masson, 1980.
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Mathematical Elasticity, Vol. 1, 2, 3, P. G. Ciarlet, Elsevier, 2000.
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Prerequisit for:
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Enrollment
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Passed
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Partial differential equations 1
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Pristupačnost
