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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This ...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This ...

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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This ...

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Excerpt from Non-Linear Theory for the Deformation of Pre-Stressed Circular Plates and RingsIt has been conjectured by Professor j.j. Stoker that solutions to non-linear elasticity problems are generally smoother in some sense than solutions to the corresponding linear problems. More specifically, If the solution to the linear problem has a singularity, the conjecture is that the solution to the non-linear problem will in many cases not have a...

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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This w...

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Excerpt from A Kirchhoff Thin Shell TheoryThis paper presents a mathematical theory for the deforma tions of isotropic shells under the applications of edge forces. The theory is obtained by imposing the principal of virtual work on the class of deformations which satisfy the Kirchhoff hypothesis, i.e. Those deformations which carry normals to the undeformed middle surface into normals to the deformed middle surface with no change in length al...

Excerpt from Construction of a Three Dimensional Displacement Field From a Solution to the Von Karman EquationsIn a previous report the displacements for the exact theory were expressed in terms of the vertical deflection of the middle surface and a stress function. It was expected that those formulas for the displacements could be used here to define a displacement field. However, changes were made in the formulas used here since the stress f...