MS 580 - Theory of Elasticity

Institution:

Boston University

Subject:

Description:

Prereq: ENG ME 309 or equivalent. An introduction to the general theory of solid deformation; small deformation emphasized. Topics include: Cartesian tensors, indicial notation. Introduction to continuum mechanics: deformation of continuous media, deformation gradient, strain definitions. Stress, Cauchy's postulate, Cauchy and Piola-Kirchhoff stress tensors. Balance laws. Constitutive equations, strain energy and Green's postulate. Linear Elasticity: two-dimensional problems, Airy stress function, in-plane loading of strips, St. Venant's principle, complex variable methods, Goursat-Muskhelishvili representation, stress concentrations around holes and cracks. Three-dimensional problems, Kelvin's solution, the Boussinesq problem, Hertzian contact, Eshelby's energy-momentum tensor. 4

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.bu.edu

Phone Number:

(617) 353-2000

Regional Accreditation:

New England Association of Schools and Colleges

Calendar System:

Semester

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