Micromechanical modeling of elastic-plastic porous materials using finite element analysis
Badders, Daniel Christopher
Carroll, Michael M.
Master of Science thesis
Elastic-plastic behavior of porous materials is analyzed using a hollow sphere micromodel and the NIKE2D finite element program. Surface average responses are computed for several displacement controlled homogeneous loadings. The data provides simple equations for elastic constants in terms of porosity. Yield surfaces are plotted and approximated by a yield function. The function's shape, hydrostatic strength, and deviatoric strength closely match the data for a wide range of porosities. Most significantly, plotting plastic strain rates relative to this yield function validates the common normality assumption for porous materials.
Mechanical engineering; Engineering; Materials science