Shape optimization under fatigue using continuum damage mechanics
An introduction and overview of the developments in shape optimization for fatigue problems is given, beginning with the main ideas in the field of static shape optimization. The use of numerical tools together with the incorporation of non-linear material properties in the continuum mechanics design has led to new possibilities for the analysis of fatigue behaviour in mechanical engineering structures. Based on publications by Lemaitre and Chaboche, the material behaviour is described by defining different partial differential equation systems on micro-scale and meso-scale. From this an optimal algorithm results for the shape optimization of mechanical engineering structures using continuum damage mechanics. Our numerical and experimental tests show a significant increase of lifetime in comparison to classical shapes.
shape optimization continuum damage mechanics fatigue model