Shape Optimization of Engineering Components by Adaptive Biological Growth

  • C. Mattheck
  • S. Burkhardt
  • D. Erb
Part of the Lecture Notes in Engineering book series (LNENG, volume 63)


Biological load carriers always grow into a shape whereby a constant stress can be found everywhere along the surface of the biological component for the most significant natural loading applied. This avoids local stress peaks and therefore pre-defined failure points in the design. This mechanism of adaptive growth is copied by the so called CAO-method (Computer Aided Optimization). The method is briefly described and the shape optimization of a tree fork illustrates the adaptive growth. Furthermore a rubber bearing, a bending bar with rectangular window as well as a joint of metal sheets are shape-optimized as engineering examples. In cases where the design proposal which the CAO-method starts from cannot be guessed easily, an oversized rough proposal can be analysed by FEM. After cutting off unloaded parts, the remaining structure can then be used as a starting design for CAO.


Fatigue Welding Rubber 


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Copyright information

© Springer-Verlag Berlin, Heidelberg 1991

Authors and Affiliations

  • C. Mattheck
    • 1
  • S. Burkhardt
    • 1
  • D. Erb
    • 1
  1. 1.Institute for Material and Solid State Research IVNuclear Research Center Karlsruhe GmbHKarlsruheWest Germany

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