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.


Shape Optimization Rectangular Window Notch Stress Rubber Bearing Biological Growth 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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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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