Richard M. Christensen's blog

A new section on applications has been added to the website on failure criteria.  Six examples of failure applications are given which span the range from very ductile to very brittle isotropic and homogeneous materials.  Summarizing two of the examples, first a very ductile polymer is examined wherein its tensile, compressive, and shear strengths are determined as influenced by a state of superimposed hydrostatic pressure. An interesting fallout from the example shows just how seriously in error the Mises criterion can be, even when applied to a ductile material.

 A new section has been added to the website http://www.failurecriteria.com/.  This is on critical tests for failure criteria.  It summarizes most of the previous entries to the website and provides evaluations of the most salient of the failure criteria by comparing with high quality experimental data.

 A new section has been added to the website on failure criteria for engineering materials.  This new work displays many different three-dimensional computer graphics of failure criteria surfaces in stress space. The full range of isotropic materials are covered from ductile metals to brittle ceramics and glasses and beyond.  All of these computer generated graphics can be seen at www.failurecriteria.com/failuresurfacegr.html.

A new section on fatigue and creep rupture has been added to the website:    http://www.FailureCriteria.com. 

  A new failure criterion has been formulated for fiber composite materials.  It is the anisotropic counterpart of a recently derived isotropic criterion.  The targeted applications are for carbon fiber, polymeric matrix (or equivalent) types of materials.

     A new website http://www.failurecriteria.com has been initiated which surveys mechanics type failure criteria for homogeneous materials.  Although later additions will be concerned with anisotropic materials, the first topic of attention is that of yield and failure criteria for isotropic materials.  A brief review of  the Mises, Tresca, and Coulomb-Mohr criteria is given, along with the need for a more general form which spans the various  materials classes including metals, polymers and ceramics