Ebook: Progress in Applied Mechanics: The Chien Wei-zang Anniversary Volume

Prof. W. Z. Chien was born on 9 October, 1912 and 1982 saw the 70th anniversary of his birth. Some of his friends, colleagues, and former students prepared this special volume in honour of his outstanding contribution to the field of mechanics. The volume does not contain contributions from all of his students and friends and for this we apologize. Prof. Chien's family have lived. in Qufangquiao Village, Hongshengli, Wuxi County, Jiangsu Province for generations. Many members of his family have been teachers in this village. When he was 14 years old his father died and for a time it appeared necessary to terminate his education but, fortunately, an uncle, Chien Mu, who later became a very famous historian in China, came to his aid and he was able to continue his studies. In 1931 he took entrance exams and was simultaneously admitted to five prestigious Chinese universities. Of these, he chose to enter Tsing-hau University in Beijing, with major work in physics. He received his baccaulaurate in 1935 and taught at middle school for a time until he was awarded a Sino:'British scholarship to study abroad. In the competition for this award, three of the recipients were in the field of mechanics: Prof. C. C. Lin, Prof. Kuo Yung-huai, and Prof. Chien Wei-zang. All three arrived in Toronto in August, 1940 and entered the Depart­ ment of Applied Mathematics of the University of Toronto to study under Prof. J. L. Synge.

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Content:
Front Matter....Pages I-XV
Front Matter....Pages 1-1
Variational principles for the linear dynamic theory of micropolar viscoelasticity....Pages 3-13
An extended version of the transfer theorem....Pages 15-18
Front Matter....Pages 19-19
On the application of the screw calculus to the mechanics of spatial mechanisms....Pages 21-34
Main properties of root-loci of time-delay control systems and a method of finding the stable interval of gain....Pages 35-48
Front Matter....Pages 49-49
Concerning the singularity of non-linear vibration of ideal liquid in communication tubes with different end cross sections....Pages 51-69
Magnetohydrodynamic flow in elliptic ducts....Pages 71-81
Flow around a cone at supersonic speed....Pages 83-89
Front Matter....Pages 91-91
A Note on biharmonic functions....Pages 93-95
The effect of transverse shear deformations on ring-shaped elastic plates....Pages 97-118
Front Matter....Pages 119-119
Sub-region generalized variational principles in elastic thin plates....Pages 121-134
General variational principles for non-conservative problems in theory of elasticity and its application to finite element analysis....Pages 135-144
Front Matter....Pages 145-145
Solution in cosine series for the bending of a rectangular cantilever plate under the action of arbitrary transverse loads....Pages 147-161
The effect of axisymmetric geometric imperfections on dynamic response to turbulent wind in a cooling tower....Pages 163-180
General solution of the bending of ring shells with equations in complex form....Pages 181-192
Front Matter....Pages 193-193
An analytical solution for interlaminar stresses in symmetric composite laminates....Pages 195-212
Front Matter....Pages 213-213
Geometric theory of finite deformation of shells....Pages 215-244
Perturbation solutions for uniformly clamped rectangular plates with large deflections....Pages 245-265
The large deflection method in the analysis of elasto-plastic instability of thin shells with initial imperfections....Pages 267-282
Composite expansion method applied to large deflection problems of spherical shells....Pages 283-292
Nonlinear bending of circular sandwich plates under the action of axisymmetric uniformly distributed line loads....Pages 293-321
Front Matter....Pages 323-323
The physical mechanism of acoustic emission and the difficulty of fracture mechanics....Pages 325-338
An elastic-plastic analytical analysis near a crack tip....Pages 339-349
On path-independent integrals in fracture dynamics for visco-elastic plastic media....Pages 351-355
A fundamental solution for flexural problems of a circular cylinder with cracks....Pages 357-367
Front Matter....Pages 369-369
The whiplash effect on tall buildings....Pages 371-378
Solutions of geometrical non-linear problems of stiffened plates and shells by the finite element method....Pages 379-397
Back Matter....Pages 399-406

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Content:
Front Matter....Pages I-XV
Front Matter....Pages 1-1
Variational principles for the linear dynamic theory of micropolar viscoelasticity....Pages 3-13
An extended version of the transfer theorem....Pages 15-18
Front Matter....Pages 19-19
On the application of the screw calculus to the mechanics of spatial mechanisms....Pages 21-34
Main properties of root-loci of time-delay control systems and a method of finding the stable interval of gain....Pages 35-48
Front Matter....Pages 49-49
Concerning the singularity of non-linear vibration of ideal liquid in communication tubes with different end cross sections....Pages 51-69
Magnetohydrodynamic flow in elliptic ducts....Pages 71-81
Flow around a cone at supersonic speed....Pages 83-89
Front Matter....Pages 91-91
A Note on biharmonic functions....Pages 93-95
The effect of transverse shear deformations on ring-shaped elastic plates....Pages 97-118
Front Matter....Pages 119-119
Sub-region generalized variational principles in elastic thin plates....Pages 121-134
General variational principles for non-conservative problems in theory of elasticity and its application to finite element analysis....Pages 135-144
Front Matter....Pages 145-145
Solution in cosine series for the bending of a rectangular cantilever plate under the action of arbitrary transverse loads....Pages 147-161
The effect of axisymmetric geometric imperfections on dynamic response to turbulent wind in a cooling tower....Pages 163-180
General solution of the bending of ring shells with equations in complex form....Pages 181-192
Front Matter....Pages 193-193
An analytical solution for interlaminar stresses in symmetric composite laminates....Pages 195-212
Front Matter....Pages 213-213
Geometric theory of finite deformation of shells....Pages 215-244
Perturbation solutions for uniformly clamped rectangular plates with large deflections....Pages 245-265
The large deflection method in the analysis of elasto-plastic instability of thin shells with initial imperfections....Pages 267-282
Composite expansion method applied to large deflection problems of spherical shells....Pages 283-292
Nonlinear bending of circular sandwich plates under the action of axisymmetric uniformly distributed line loads....Pages 293-321
Front Matter....Pages 323-323
The physical mechanism of acoustic emission and the difficulty of fracture mechanics....Pages 325-338
An elastic-plastic analytical analysis near a crack tip....Pages 339-349
On path-independent integrals in fracture dynamics for visco-elastic plastic media....Pages 351-355
A fundamental solution for flexural problems of a circular cylinder with cracks....Pages 357-367
Front Matter....Pages 369-369
The whiplash effect on tall buildings....Pages 371-378
Solutions of geometrical non-linear problems of stiffened plates and shells by the finite element method....Pages 379-397
Back Matter....Pages 399-406
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