Abstract
The measurement of strains in real skulls or the calculation of strain distribution in individual finite-element models is an inductive method that yields information about the stresses occurring in the a priori existing shape. In contrast, the approach taken here to determine the relationship between skull function and skull shape applies Wolff’s law through a deductive technique of structure synthesis. This paper describes the application of this method in the virtual synthesis of a Neanderthal skull. As a first step a non-specific homogeneous solid is constructed, giving the stresses ample volume to spread between points of force application and constraint. The FE software ANSYS 10 is used to form 10-noded tetrahedral finite elements with a maximum of 129,000 nodes. The initial conditions are the functional spaces for the brain, the eye openings, and the nose cavity. Further initial conditions are the muscle forces, and the placement of the dental arcade, including assumed bite and chewing forces and the spatial relationships of these with respect to each other. Enforcing equilibrium of forces, the primary 3D stress flows in each load case are summarized by a physiological superposition, which accumulates the highest value of compressive stress in each finite element. If the stress-free parts are eliminated and the summarized stress flows are maintained, a reduced model appears which is very similar to the real skull. This reduction of shape can be repeated iteratively and leads to a more exact form. The final FE-model is presented by using the CAD software CATIA V5 and the resultant cross-sections are compared with CT scans of a real Neanderthal skull. Changes in the form of the dental arcade, its position relative to the braincase, the origins of muscles, or the volume of the brain lead to models that clearly resemble morphological differences between species or genera. The deductive virtual synthesis of the typical skull of Neanderthals using the finite-element structure synthesis (FESS) technique demonstrates the direct correlation between functional loading and the biological structure and shape and can be used to test hypotheses regarding the relationship between structure and function during skull evolution.
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Acknowledgments
The author is greatly obliged to Mrs J. Mannhardt (cand. ing.), Mr. V. Meimann (Dipl.-Ing.) and Mr. M. Neges (cand. ing.) who executed countless calculations and prints with incredible engagement. His special thanks go to Prof. H. Preuschoft and Prof. G.-C. Weniger for the procurement of skull castings and to Dr. L. Bondioli, Roma, Museo Nazionale “L. Pigorini” for several CT scans of the skull of Homo neanderthalensis (Guattari). The latter contact was given by Prof. G. W. Weber to whom he feels bound with great thanks. He would also like to thank an anonymous reviewer for his careful reading and constructive criticism of his article.
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Witzel, U. (2011). Virtual Synthesis of the Skull in Neanderthals by FESS. In: Condemi, S., Weniger, GC. (eds) Continuity and Discontinuity in the Peopling of Europe. Vertebrate Paleobiology and Paleoanthropology. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0492-3_18
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DOI: https://doi.org/10.1007/978-94-007-0492-3_18
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