By Donald E. Carlson, Yi-Chao Chen
The papers incorporated during this quantity have been provided on the Symposium on Advances within the Continuum Mechanics and Thermodynamics of fabric habit, held as a part of the 1999 Joint ASME utilized Mechanics and fabrics summer time convention at Virginia Tech on June 27-30, 1999. The Symposium used to be held in honor of Professor Roger L. Fosdick on his sixtieth birthday.
The papers are written by means of well-liked researchers within the fields of mechanics, thermodynamics, fabrics modeling, and utilized arithmetic. They tackle open questions and current the most recent improvement in those and similar parts. This quantity is a beneficial reference for researchers and graduate scholars in universities and study laboratories.
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Additional info for Advances in Continuum Mechanics and Thermodynamics of Material Behavior: In Recognition of the 60th Birthday of Roger L. Fosdick
Bf3 Here T is the shear force on a cross-section and B o the in-plane body force per unit length. The skew-symmetric part of the 2 x 2 matrix C represents the torsional moment and its symmetric part the moment of double forces . The 2 x 2 symmetric matrix 1: gives the in-plane double forces, the skew-symmetric part of the 2 x 2 matrix B 1 equals the applied torque per unit length, and the symmetric part of B 1 equals the double force/length. The total axial force on a cro ss-section and the axial body force/length are represented by N and So respectively.
Figures 4-9 depict the variations of Vo, VI, Wo, WI. o/~ and 0/1 along the span of the plate. For e = 0° and 90° we recover classical results showing coupling between the electrical and the mechanical effects. That is, the thickness of the plate changes and there is no tran sverse shear deformation of the plate. For e = 30° and 45°, there is significant bending and shearing of the plate but the changes in the thickness are small as compared to those for e = 0° and 90°. A con siderable part of the energy used to chan ge the thickness of the plate s for e = 0° and 90° is con sumed to bend and shear the plates when e = 30° and 45°.
H ) = s+ X = X. (41) The solution of the equilibrium equations (25) under the boundary conditions (4 1) for T , N , M and I::!. is T(O = 0, N (O = 0, M (( ) = 0, I::!. (O = X. (42) However, the fields C and 1: can not be found from the equilibrium equ ation s (25h because the number of unkn owns exceeds the number of equations. The constitutive relations (31) and equations (42) give ~ 1 Eo = SYMV = A'(lF ES 1: + MI n X), I' (43) = V' = lFysCJ - 1 which when substituted in (25h with B 1 = 0, and in (26h , yield the following equ ation s for the determination of V: e (IF; ;V'J)' + AlF 1SYMV = lFe1MIE8X, V ' (h) = 0, V (-h) =0.
Advances in Continuum Mechanics and Thermodynamics of Material Behavior: In Recognition of the 60th Birthday of Roger L. Fosdick by Donald E. Carlson, Yi-Chao Chen