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  • 1
    Electronic Resource
    Electronic Resource
    Induced electric and magnetic fields due to wave propagation in a tubular bone (1988)
    Springer
    Journal of mathematical biology 26 (1988), S. 105-120 
    Details
    ISSN: 1432-1416
    Keywords: Osseous tissue ; Constitutive relation ; Piezoelectricity ; Anisotropy ; Inhomogeneity ; Osteoporosis ; Utrasonic wave ; Streaming potential
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Electric and magnetic fields in tubular bones induced due to the propagation of travelling axisymmetric torsional waves, are determined in the paper by accounting for the piezoelectricity, inhomogeneity and anisotropy of osseous tissues. Using the derived expressions and experimentally determined values of the involved physical constants, numerical values of the displacement and stress fields, and also the induced fields are computed for points at different locations of the bone specimen.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00280176
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  • 2
    Electronic Resource
    Electronic Resource
    Effect of initial stresses on the wave propagation in arteries (1983)
    Springer
    Journal of mathematical biology 18 (1983), S. 53-67 
    Details
    ISSN: 1432-1416
    Keywords: Wave propagation ; Arteries ; Atherosclerosis ; Blood flow ; Navier-Stokes equation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A theoretical analysis for the problem of wave propagation in arteries is presented. Blood is treated as a Newtonian, viscous incompressible fluid. On the basis of information derived from experimental investigations on the mechanical properties of wall tissues, the arterial wall is considered to be nonlinearly viscoelastic and orthotropic. The analysis is carried out for a cylindrical artery, under the purview of membrane theory, by taking account the effect of initial stresses. The motion of the wall and that of the fluid are assumed to be axisymmetric. Particular emphasis has been paid to the propagation of small amplitude harmonic waves whose wavelength is large compared to the radius of the vessel. By employing the equations of motion of the fluid and those for the wall, together with the equations of continuity, a frequency equation is derived by exploiting the conditions of continuity of the velocity of the arterial wall and that of blood on the endosteal surface of the wall. In order to illustrate the validity of the derived analytical expressions a quantitative analysis is made for the variations of the phase velocities as well as the transmission coefficient with frequency corresponding to different transmural pressures which relate to different initial stresses. Computational results indicate that phase velocities increase with the increase of transmural pressures.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00275910
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  • 3
    Electronic Resource
    Electronic Resource
    Axisymmetric vibration of human skull-brain system (1978)
    Springer
    Archive of applied mechanics 47 (1978), S. 11-19 
    Details
    ISSN: 1432-0681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Übersicht Schwingungen des menschlichen Kopfes, der als eine flache sphäroidale Schale modelliert ist, werden betrachtet. Es wird angenommen, daß die Schale aus einem linear-viskoelastischen Material besteht und eine viskoelastische Flüssigkeit enthält, die das Gehirn darstellt. Die stationäre Antwort des menschlichen Schädel-Gehirn-Systems auf eine axialsymmetrische Belastung wird analysiert. Es wird gezeigt, daß dic Exzentrizität der Schale einen entscheidenden Einfluß auf ihre Steifigkeit hat.
    Notes: Summary Vibrations of the human head modelled as a prolate spheroidal shell are considered. The shell is assumed to be made of a linear viscoelastic solid containing a viscoelastic fluid representing the brain. Steady-state response of human-sized skull-brain system due to an axisymmetric load is analysed. The effect of the eccentricity of the shell on its stiffness is found to be quite significant.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00536614
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  • 4
    Electronic Resource
    Electronic Resource
    On the thermal bending of a thin elastic simply supported rectangular plate resting on an elastic foundation (1974)
    Springer
    Pure and applied geophysics 112 (1974), S. 83-89 
    Details
    ISSN: 1420-9136
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Summary Deflection and bending moments of a thin isotropic rectangular plate, having its edges simply supported and maintained at zero temperature, have been investigated in this paper. The upper surface is kept at a constant temperature while the lower surface, which is in contact with an elastic foundation, is thermally insulated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00875921
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  • 5
    Electronic Resource
    Electronic Resource
    Pulse wave velocities in the aorta (1984)
    Springer
    Bulletin of mathematical biology 46 (1984), S. 103-114 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract This paper is an analytical study on the pulse wave velocities in the aorta. In conformity to a physiologic state of loading, the distensibility of the vessel wall has been accounted for. The wall material is treated by using the theory of large elastic deformations. The orthotropicity of wall tissues and the effect of the surrounding tissues have been incorporated in the analysis which is based on the use of the strain energy function suggested by Vaishnavet al. Numerical values of the wave velocities of the canine middle descending thoracic aorta are computed by using the derived analytical expressions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02463724
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  • 6
    Electronic Resource
    Electronic Resource
    Distribution of stresses in the left ventricular wall of the intact heart (1985)
    Springer
    Bulletin of mathematical biology 47 (1985), S. 53-70 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The left ventricle is modelled as a prolate spheroid of viscoelastic material with an aim to demonstrate the qualitative effects of anistropy and nonhomogeneity in the calculation of intact ventricular wall stresses. The pericardial pressure is accounted for in the analysis and an attempt is made to examine to what extent this influences the ventricular stresses. Numerical results are also obtained by computing the analytical expressions derived through the analysis.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02459646
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  • 7
    Electronic Resource
    Electronic Resource
    A study on the non-linear flow of blood through arteries (1987)
    Springer
    Bulletin of mathematical biology 49 (1987), S. 257-277 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The pulsatile flow of blood through arteries is investigated in this paper by treating the blood vessel as a thin-walled anisotropic, non-linearly viscoelastic, incompressible circular cylindrical shell; nonlinearities of the flow of blood are also paid due consideration. The displacement components of the vessel wall are obtained from the equations of equilibrium which have been linearized by employing the principle of superimposition of a small deformation on a state of known finite deformation. The influence of the wall deformation on the flow properties of blood, has been accounted for by considering suitably formulated continuity conditions. A finitedifference scheme is employed for solving the flow equations together with the boundary and initial conditions by using the locally measured values of pressure and pressure gradient. Numerical results obtained for the velocity profile of blood flowing in a canine middle descending thoracic aorta have been presented through figures.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460119
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  • 8
    Electronic Resource
    Electronic Resource
    Surface remodeling of bones induced by intra-medullary nailing (1983)
    Springer
    Rheologica acta 22 (1983), S. 512-518 
    Details
    ISSN: 1435-1528
    Keywords: Intra-medullary nailing ; bone ; surface remodeling ; anisotropy ; piezoelectricity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Abstract The paper is devoted to a study on the surface remodeling of bones. Anisotropy and piezoelectricity of bone tissue (as per previous experimental studies) are incorporated in the analysis. Surface remodeling induced by intra-medullary nailing is of primary concern in the study.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01462939
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  • 9
    Electronic Resource
    Electronic Resource
    Distribution of stresses in a pre-cracked bone specimen (1987)
    Springer
    Rheologica acta 26 (1987), S. 485-490 
    Details
    ISSN: 1435-1528
    Keywords: Osseoustissue ; bonefracture ; transversely isotropicmaterial ; interface loading ; fracture energy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Abstract Of concern in the paper is an analysis of the stress-distribution in a specimen of bone having an exterior crack. In conformity to experimental findings, the osseous medium is treated as a composite transversely isotropic material. By considering a numerical example, values of the longitudinal stress at different locations of the bone specimen are obtained by computing the analytically derived expressions, using experimental data for the various physical constants of osseous tissues.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01333851
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  • 10
    Electronic Resource
    Electronic Resource
    An analysis of the flow of blood through thick-walled vessels, considering the effect of tethering (1984)
    Springer
    Rheologica acta 23 (1984), S. 548-555 
    Details
    ISSN: 1435-1528
    Keywords: Hemodynamic flow ; tethering effect ; orthotropicity ; phase velocity ; transmission coefficient
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Abstract A theoretical analysis of the flow of blood through the blood vessel is presented. Both the radial and longitudinal tetherings are accounted for. By taking the orthotropicity of the wall tissues into consideration, blood is treated as a Newtonian, viscous and incompressible fluid. The applicability of the analysis is illustrated through the numerical computations of the derived analytical expressions by using experimentally determined values of the material parameters and the effect of tethering on the phase velocities of blood flow is thereby quantified.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01329287
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