A MODEL OF THE HUMAN SKULL AS A POROELASTIC SPHERICAL SHELL SUBJECTED TO A QUASISTATIC LOAD

TWO-PHASE ISOTROPIC HOMOGENEOUS POROELASTIC MATERIAL IS TAKEN AS A MODEL OF THE LIVING BONE IN THE SENSE THAT THE OSSEOUS TISSUE IS CONSIDERED AS A LINEAR, PERFECTLY ELASTIC SOLID AND THE FLUID SUBSTANCES FILLING THE CAVITIES AS A NEWTONIAN VISCOUS FLUID. USING THE HEINRICH-DESOYER FORMULATION OF THE CONSOLIDATION THEORY OF TERZAGHI-BIOT ADAPTED TO THE SPHERICAL BODIES AND THE LAPLACE TRANSFORMATION, THE PRESSURE HEAD FUNCTION IS DETERMINED FIRST. THE COMPLEMENTARY SOLUTION OF THE EQUATION FOR THE DISPLACEMENT OF THE SOLID PHASE IS THEN ADAPTED FROM THE CLASSICAL ELASTIC SOLUTION IN TERMS OF THE LEGENDRE POLYNOMIALS. FOR SIMPLICITY, ONLY THE AXISYMMETRIC CASE IS CONSIDERED. THE INTEGRATION CONSTANTS ARE DETERMINED FROM THE THIRD GOVERNING EQUATION AS WELL AS FROM THE BOUNDARY AND INITIAL CONDITIONS. THREE ILLUSTRATIVE EXAMPLES ARE INVESTIGATED IN DETAIL, ASSUMING HYDROSTATIC LOAD: (1) A THICK-WALLED SHELL IF THE FLUID PRESSURE MAY BE DISREGARDED, (2) A SOLID POROELASTIC SPHERE, (3) A THIN-WALLED POROELASTIC SHELL. IN CASE 2, THE RHEOLOGICAL MODEL DESCRIBING THE BEHAVIOR OF THE BODY SEEMS TO CORRESPOND TO THE DELVIN-VOIGT MODEL PROPOSED FOR OSSEOUS TISSUES BY ZAREK AND EDWARDS. /AUTHOR/

• Supplemental Notes:
  • No 8, pp 397-416, 1 FIG, 20 REF
• Corporate Authors:

  Mathematical Biosciences

  ,    
• Authors:
  • Nowinski, J L
  • Davis, C F
• Publication Date: 1970

Subject/Index Terms

• TRT Terms: Biophysics; Bones; Elastic bodies; Mathematical models; Medical examinations and tests
• Uncontrolled Terms: Models
• Old TRIS Terms: Biomedical measurements; Elastic solids
• Subject Areas: Highways; Safety and Human Factors;

Filing Info

• Accession Number: 00221539
• Record Type: Publication
• Files: TRIS
• Created Date: Apr 2 1972 12:00AM