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Masters Theses

Engineering Mechanics

Plasticity -- Mathematical models<br />Plates (Engineering)<br />Stress concentration<br />Surfaces, Deformation of

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Plastic Deformation Of Thin Plates With A Spherical Indenter, Benjamin Jen-An Chang Jan 1967

Plastic Deformation Of Thin Plates With A Spherical Indenter, Benjamin Jen-An Chang

Masters Theses

"A method of determining the stress distribution in a thin plate deformed with a spherical indenter is presented in this report. The analysis is formulated in cylindrical coordinates and utilizes the basic principles of plasticity (von Mises yield criteria, Luwig stress-strain equation, Hencky Deformation theory, etc.). The problem is solved through the utility of a displacement function that, by virtue of its definition, automatically assures that the condition of volume constancy is satisfied. The boundary conditions are selected on the basis of having average, or integrated, effects corresponding to the physical constraints of the problem. Numerical integration is introduced to ...