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  • Hanover, NH : U.S. Army Cold Regions Research and Engineering Laboratory  (6)
  • Hanover, NH : Army Cold Regions Research and Engineering Laboratory  (1)
  • 1
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    The viscoelastic deflection of an infinite floating ice plate subjected to a circular load (1978)
    Hanover, NH : U.S. Army Cold Regions Research and Engineering Laboratory
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    Call number: ZSP-201-78/5
    In: CRREL Report, 78-5
    Description / Table of Contents: The viscoelastic deflection of an infinite floating ice plate subjected to a circular load was solved, assuming the Maxwell-Voigt type four-element model. An effective method of numerical integration of the solution integrals was developed, of which each integrand contains a product of Bessel functions extending to infinity. The theoretical curve was fitted to the field data, but the material constants thus found varied with time and location.
    Type of Medium: Series available for loan
    Pages: iii, 32 Seiten , Illustrationen
    Series Statement: CRREL Report 78-5
    URL: https://hdl.handle.net/11681/9415
    Language: English
    Note: CONTENTS Abstract Preface Introduction The problem The solution Method of numerical integration Ramp/steady loading Curve fitting to time lapse deflections Asymptotic deflection Deflection profiles Acknowledgement Literature cited Appendix I. Analytical background Appendix II. Computer programs, ramp time profiles and steady time profiles
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  • 2
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    The buckling pressure of an elastic plate floating on water and stressed uniformly along the periphery of an internal hole (1978)
    Hanover, NH : U.S. Army Cold Regions Research and Engineering Laboratory
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    Call number: ZSP-201-78/14
    In: CRREL Report, 78-14
    Description / Table of Contents: The analytical solution and the numerical study of the eigenvalue problem for determining the buckling pressure of an infinite elastic plate floating on water and stressed uniformly along the periphery of an internal hole is presented. The boundary conditions considered are the clamped-, simple-, and free-edge conditions. Small buckling pressure occurs only for the free-edge condition. The shape of the deflection for the free-edge condition suggests that buckling is an important mechanism of failure.
    Type of Medium: Series available for loan
    Pages: v, 55 Seiten , Illustrationen
    Series Statement: CRREL Report 78-14
    URL: https://hdl.handle.net/11681/9401
    Language: English
    Note: CONTENTS Abstract Preface Nomenclature Introduction 1. The problem 2. Abstract of the result Part I. Fundamental solutions 3. Fuchsian type solutions 4. Contour integral solution 5. Integration of the integral solution 6. Fundamental solutions for α = 1 7. Fundamental solutions for α = 0 8. Eigenvalues for α = 0 9. Fundamental solutions for α 〉 1 Part II. Asymptotic expansions 10. Asymptotic expansion for 0 〈 α ⩽1 11. Asymptotic expansion for 1 ≦ α ≦ 2 12. Asymptotic expansion for 2 ≦ α ≦ ∞ Part III. Eigenvalues 13. Range of eigenvalues 14. Eigenvalues for the free-edge condition 15. Eigenvalues for the clamped-edge and simple-edge conditions 16. Deflection Acknowledgement Literature cited Appendix A. Analytical continuation at the singular point Appendix B. Tensorial transformations Appendix C. Comparison of the semi-infinite plate buckling with the asymptotic buckling
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  • 3
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    In-plane deformation of non-coaxial plastic soil (1978)
    Hanover, NH : U.S. Army Cold Regions Research and Engineering Laboratory
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    Call number: ZSP-201-78/7
    In: CRREL Report, 78-7
    Description / Table of Contents: The theory of non-coaxial in-plane plastic deformation of soils that obey the Coulomb yield criterion is presented. The constitutive equations are derived by use of the geometry of the Mohr circle and the theory of characteristic lines. It is found that, for solving a boundary value problem, the non-coaxial angle must be given such values that enable us to accommodate the presupposed type of flow in the given domain satisfying the given boundary conditions. The non-coaxial angle is contained in the constitutive equations as a parameter. Therefore, the plastic material obeying the Coulomb yield criterion is a singular material whose constitutive equations are not constant with material but are variable with flow conditions.
    Type of Medium: Series available for loan
    Pages: iii, 28 Seiten , Illustrationen
    Series Statement: CRREL Report 78-7
    URL: https://hdl.handle.net/11681/9410
    Language: English
    Note: CONTENTS Abstrac Preface Introduction Analysis of stress Geometry of the Mohr circle Stress characteristic directions Analysis of strain rate Constitutive equations Strain-rate characteristic directions Constitutive geometry Strain-rate tensor The dyadic expression Plastic work rate Coordinate transformation Example The stress solution Velocity equations in the a-characteristic curvilinear coordinates The constant speed solution Velocity equations in the constant density region Solution in the first constant-density subregion Solution in the second constant-density subregion Solution in the passive region Conclusion Literature cited
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  • 4
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    Segregation freezing as the cause of suction force for ice lens formation (1978)
    Hanover, NH : U.S. Army Cold Regions Research and Engineering Laboratory
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    Call number: ZSP-201-78/6
    In: CRREL Report, 78-6
    Description / Table of Contents: A new freezing mechanism, called segregation freezing, is proposed to explain the generation of the suction force that draws pore water up to the freezing surface of a growing ice lens. The segregation freezing temperature is derived by applying thermodynamics to a soil mechanics concept that distinguishes the effective pressure from the neutral pressure. The frost-heaving pressure is formulated in the solution of the differential equations of the simultaneous flow of heat and water, of which the segregation freezing temperature is one of the boundary conditions.
    Type of Medium: Series available for loan
    Pages: iv, 13 Seiten , Illustrationen
    Series Statement: CRREL Report 78-6
    URL: https://hdl.handle.net/11681/9411
    Language: English
    Note: CONTENTS Abstract Preface Nomenclature Introduction Segregation freezing Analysis Heat conduction in the nascent ice layer Water flow in the unfrozen soil Heat transfer in the unfrozen soil Energy balance at the segregation-freezing front Numerical computation Literature cited Appendix A. Essence of Portnov’s method Appendix B. Frost-heaving without air available
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  • 5
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    Plane plastic deformation of soils (1966)
    Hanover, NH : U.S. Army Cold Regions Research and Engineering Laboratory
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    Call number: ZSP-202-87
    In: Research report / Cold Regions Research and Engineering Laboratory, 87
    Description / Table of Contents: Abstract: A consistent theory of plane plastic deformation of soil is formulated by assuming soil as an ideal material that has constant cohesion and friction angle. Such an ideal soil is an extension of the ideal metal that has, in the terminology of soil mechanics, cohesion only. After a review of the existing theories from which the present theory has emerged, the mathematical expression referred to as the "compression characteristic" is developed. Then the system of differential equations is shown by the theory of characteristic lines. Many mathematical and physical problems remain to be solved before the perfect explanation of the plasticity of ideal soil will be attained.
    Type of Medium: Series available for loan
    Pages: iv, 42 Seiten
    Series Statement: Research report / Cold Regions Research and Engineering Laboratory 87
    URL: https://hdl.handle.net/11681/5896
    Language: English
    Note: CONTENTS Preface Summary Introduction Review of existing theories The compression characteristic Characteristic directions Conclusions Literature cited Appendix A. Proof of Yamaguchi's principle Appendix B. Strain-rate tensor in the strain-rate characteristic line coordinates Appendix C. Stress, strain-rate relationship Appendix D. Bearing on the. Drucker and Prager three -dimensional deformation Appendix E. Notation
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  • 6
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    Some Bessel function identities arising in ice mechanics problems (1979)
    Hanover, NH : U.S. Army Cold Regions Research and Engineering Laboratory
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    Call number: ZSP-201-79/27
    In: CRREL Report, 79-27
    Description / Table of Contents: Some Bessel function identities found by solving problems of the deflection of a floating ice plate by two different methods are rigorously proved. The master formulas from which all the identities are derived are in a Fourier reciprocal relationship, connecting a Hankel function to an exponential function. Many new formulas can be derived from the master formulas. The analytical method presented here now opens the way to study a hitherto impossible type of problem--the deflection of floating elastic plates of various shapes and boundary conditions.
    Type of Medium: Series available for loan
    Pages: ii, 13 Seiten , Illustrationen
    Series Statement: CRREL Report 79-27
    URL: https://apps.dtic.mil/docs/citations/ADA078709
    URL: https://hdl.handle.net/11681/9089
    Language: English
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  • 7
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    Spline approximation to the freezing of water in a cyclindrical hole drilled in an ice sheet (1975)
    Hanover, NH : Army Cold Regions Research and Engineering Laboratory
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    Call number: ZSP-202-328
    In: Research report
    Description / Table of Contents: An interpolation continuous up to the first-order derivatives is needed to solve this problem, because the first-order derivatives are used in the formulation of the movement of the freezing front. The requirement is met in this paper by use of a parabolic spline. The Crank-Nicholson formula is used to set up the predictor-corrector scheme of time integration. Several iterations are needed to advance one step in time because of the implicit nature of the Crank-Nicholson formula and the nonlinearity involved in the freezing problem
    Type of Medium: Series available for loan
    Pages: iii, 13 S.
    Series Statement: Research report / Cold Regions Research and Engineering Laboratory, CRREL, US Army Material Command 328
    URL: http://acwc.sdp.sirsi.net/client/search/asset/1014722
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