Complex Variable Methods in Elasticity
Plane strain and generalized plane stress boundary value problems of linear elasticity are the focus of this graduate-level text. Contents include functions of a complex variable, basic equations of 2-dimensional elasticity, plane and half-plane problems, regions with circular boundaries, and regions with curvilinear boundaries. 1971 edition. Includes 26 figures.
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FUNCTIONS OF A COMPLEX VARIABLE
THE BASIC EQUATIONS OF TWODIMENSIONAL ELASTICITY
PLANE AND HALFPLANE PROBLEMS
REGIONS WITH CIRCULAR BOUNDARIES
REGIONS WITH CURVILINEAR BOUNDARIES
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arbitrary assume behaviour boundary value problem calculated Cauchy boundary conditions Cauchy integral Chapter circle circular disc circular hole complex potentials complex variable conformally mapped consider constant corresponding crack curvilinear coordinates defined derived determine displacement boundary value displacement continuation displacement field elliptical epitrochoid evaluated example Figure fl(z given half-plane Hence Hilbert problem Holder condition holomorphic and single holomorphic function holomorphic in S+ hoop stress hypotrochoidal illustration infinite medium infinite plate Laurent Laurent series linear MATHEMATICS method of solution normal stress origin and infinity physical plane strain Plemelj function point forces pole of order punch region Rn region S+ rigid-body rotation at infinity satisfy Section 1.6 shear stress Similarly simple simply connected single valued singularities stress and displacement stress and rotation stress boundary value stress continuation stress distribution stress field stresses at infinity tions transformation unstressed whole plane cut zero stress