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  • 1
    Electronic Resource
    Electronic Resource
    Thermoelastic Equilibrium of Bodies in Generalized Cylindrical Coordinates (1998)
    Springer
    Georgian mathematical journal 5 (1998), S. 521-544 
    Details
    ISSN: 1572-9176
    Keywords: Elasticity ; thermoelasticity ; transversally isotropic body ; thermoelastic equilibrium
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Using the method of separation of variables, an exact solution is constructed for some boundary value and boundary-contact problems of thermoelastic equilibrium of one- and multilayer bodies bounded by the coordinate surfaces of generalized cylindrical coordinates ρ, α, z. ρ, α are the orthogonal coordinates on the plane and z is the linear coordinate. The body, occupying the domain Ω = {ρ0 〈 ρ 〈 ρ1, α0 〈 α 〈 α1, 0 〈 z 〈 z 1}, is subjected to the action of a stationary thermal field and surface disturbances (such as stresses, displacements, or their combinations) for z = 0 and z = z 1. Special type homogeneous conditions are given on the remainder of the surface. The elastic body is assumed to be transversally isotropic with the plane of isotropy z = const and nonhomogeneous along z. The same assumption is made for the layers of the multilayer body which contact along z = const.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/B:GEOR.0000008130.94207.f5
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  • 2
    Electronic Resource
    Electronic Resource
    A Contact Problem of the Interaction of a Semi-Finite Inclusion with a Plate (1999)
    Springer
    Georgian mathematical journal 6 (1999), S. 489-500 
    Details
    ISSN: 1572-9176
    Keywords: Elasticity ; elastic mixtures ; general representations ; integral Fredholm equations ; boundary value problems ; splitted boundary value problems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A piece wise-homogeneous plane made up of twodifferent materials and reinforced by an elastic unclusion is considered on a semi-finite section where the different materials join. Vertical and horizontal forces are applied to the inclusion which haz a variable thichness and a variable elasticity modulus. Under certain conditions the problem is reduced to integrodifferential equations of third order. The solution is constructed effectively by applying the methods of theory of analytic functions to a boundary value problem of the Carleman type for a strip. Asymptotic estimates of normal contact stress are obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1022932902050
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  • 3
    Electronic Resource
    Electronic Resource
    Application of Analogues of General Kolosov–Muskhelishvili Representations in the Theory of Elastic Mixtures (1999)
    Springer
    Georgian mathematical journal 6 (1999), S. 1-18 
    Details
    ISSN: 1572-9176
    Keywords: Elasticity ; elastic mixtures ; general representations ; Fredholm integral equations ; boundary value problems ; splitted boundary value problems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The existence and uniqueness of a solution of the first, the second and the third plane boundary value problem are considered for the basic homogeneous equations of statics in the theory of elastic mixtures. Applying the general Kolosov–Muskhelishvili representations from [1], these problems can be split and reduced to the first and the second boundary value problem for an elliptic equation which structurally coincides with the equation of statics of an isotropic elastic body.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1022904308409
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  • 4
    Electronic Resource
    Electronic Resource
    Point force and edge dislocation in a two-phase anisotropic medium (1996)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 47 (1996), S. 617-630 
    Details
    ISSN: 1420-9039
    Keywords: Elasticity ; composite material ; Green's function ; plane problem ; anisotropy ; point force ; dislocation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Green's functions are derived for the in-plane deformation due to an in-plane point force and edge dislocation acting at a point in a plane of two joined semi-infinite anisotropic plates. The Lekhnitskii's complex potential approach is used, and a general expression of the solutions is obtained in closed-form. Including the case of an isotropic-anisotropic two-phase medium and the case of an isotropic-isotropic two-phase medium, the solutions are given for all possible combinations of materials with either s1 ≠ s2 or S1=s2, where si and s2 are the roots of the characteristic equation of the material.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00914875
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  • 5
    Electronic Resource
    Electronic Resource
    Green's functions for a point force and dislocation outside an elliptic inclusion in plane elasticity (1996)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 47 (1996), S. 894-905 
    Details
    ISSN: 1420-9039
    Keywords: Elasticity ; Green's function ; inclusion ; plane problem ; point force ; dislocation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The plane elasticity problem of an infinite plate containing an elliptic inclusion is considered. The Green's functions for a point force and/or a dislocation located outside the inclusion are derived. By using the complex potential approach of Muskhelishvili, the general solutions are obtained in a form of carefully selected functions plus an infinite series. The numerical convergence of the solutions is better than that of Stagni-Lizzio's solutions. The proposed solutions can also be applied to the case of a point force and dislocation acting at a point right on the interface.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00920040
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  • 6
    Electronic Resource
    Electronic Resource
    Elasticity and movements of the cockroach tarsus in walking (1999)
    Springer
    Journal of comparative physiology 185 (1999), S. 157-172 
    Details
    ISSN: 1432-1351
    Keywords: Key words Insect ; Walking ; Elasticity ; Tarsus ; Joints
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Abstract Anatomical, kinematic and ablation studies were performed to evaluate the contribution of elasticity in use of the cockroach tarsus (foot) in walking. The distal tarsus (claws and arolium) engages the substrate during the stance phase of walking by the action of a single muscle, the retractor unguis. Kinematic and ablation studies demonstrated that tarsal disengagement occurs at the end of stance, in part via the action of elastic elements at the penultimate tarsal joint. In isolated legs, this joint exhibits very rapid (less than 20 ms duration) recoil to extension when released from the engaged position, and recoil is even more rapid (less than 10 ms) after removal of the retractor tendon (apodeme). The joint also possesses an enlarged cuticular condyle which is the attachment for ligaments and articular membranes, some of which fulfill morphological criteria consistent with the presence of the elastic protein resilin. Measurements of restoring forces generated by joint displacement indicate that they are graded but could readily lift the mass of the distal tarsus. This biomechanical design can facilitate efficient use of the tarsus in walking while under active control by only a single muscle and may also be highly advantageous when cockroaches very rapidly traverse irregular terrain.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s003590050374
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  • 7
    Electronic Resource
    Electronic Resource
    Relationships between stem structure and bending strength in Pinus radiata seedlings (1993)
    Springer
    Trees 7 (1993), S. 86-91 
    Details
    ISSN: 1432-2285
    Keywords: Pinus radiata ; Stem deformation ; Nitrogen ; Stem form ; Elasticity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary Seedlings from nine families of Pinus radiata were grown in a glasshouse under conditions of high and low nitrate nitrogen availability to investigate effects on anatomical and strength characteristics of stems. Families were classified into groups dependent upon their previously determined susceptibility to stem deformation prevalent in plantations established on fertile ex-pasture. Nitrogen treatments significantly affected seedling form in terms of both branch production and stem slenderness. The high N treatment resulted in shorter seedlings, a proportion of which were obviously stunted. Stem strength of seedlings, physically supported throughout the experiment, was assessed as stem lean at harvest as well as the bending strength of the fresh stem at 50% stem height. These two variables were found not to be correlated. Stem lean at harvest was greatest in families known to be susceptible to stem deformation. These families produced stems that were also more slender than families of low susceptibility. Increased stem lean was associated mostly with increased stem slenderness while elasticity was more influenced by pith diameter, stem density and wood radius.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00225474
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  • 8
    Electronic Resource
    Electronic Resource
    Strength and structure of stems from fast grown Pinus radiata (1993)
    Springer
    Trees 7 (1993), S. 131-136 
    Details
    ISSN: 1432-2285
    Keywords: Pinus radiata ; Stem strength ; Elasticity ; Lignin ; Microfibril angle
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary Segments of living stems from 2-year-old, fast growing Pinus radiata, established on a fertile ex-pasture, were examined in terms of their bending strength parallel to the grain. Stem anatomical and structural variables were examined to identify variables that could explain variation in bending strength. Half of the seedlings were physically supported to minimise the confounding effects of compression wood production in response to environmental stresses. Differences between seedlings and cuttings were examined. Variation in microfibril angle and lignin content was sufficient to account for 81% of the variation in bending strength. A positive correlation between both of these variables and elasticity was evident. Few differences were found to be caused by the support treatment or between seedlings and cuttings. The support treatment resulted in significantly fewer branches in the top most whorl, while cuttings had less branches in this whorl than seedlings.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00199612
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  • 9
    Electronic Resource
    Electronic Resource
    Deformable models (1988)
    Springer
    The visual computer 4 (1988), S. 306-331 
    Details
    ISSN: 1432-2315
    Keywords: Modeling ; Animation ; Deformation ; Elasticity ; Dynamics ; Simulation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract We develop physically-based models of deformable curves, surfaces, and solids for use in computer graphics. Our deformable models are governed by the mechanical laws of continuous bodies whose shapes can change over time. These laws, expressed in the form of dynamic differential equations, unify the description of shape and motion. By solving the equations numerically we are able to create realistic animations involving the interaction of deformable models with various applied forces, ambient media, and impenetrable obstacles in a simulated physical world. We develop deformable models capable of perfectly elastic behavior and more general inelastic behavior, including viscoelasticity, plasticity, and fracture.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01908877
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  • 10
    Electronic Resource
    Electronic Resource
    Dynamic contour: A texture approach and contour operations (1995)
    Springer
    The visual computer 11 (1995), S. 277-289 
    Details
    ISSN: 1432-2315
    Keywords: Elasticity ; Active contour methods ; Segmentation ; Image processing
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract The large morphometric variability in biomedical organs requires an accurate fitting method for a pregenerated contour model. We propose a physically based approach to fitting 2D shapes using texture feature vectors and contour operations that allow even automatic contour splitting. To support shrinkage of the contour and obtain a better fit for the concave parts an area force is introduced. When two parts of the active contour approach each other, it divides. The contour undergoing elastic deformation is considered as a set of masses linked by springs with their natural lengths set to zero. We also propose a method for automatic estimation of some model parameters based on a histogram of image forces along a contour.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01898405
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