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  • 1
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    Series available for loan
    Hanover, NH : U. S. Cold Regions Res. and Eng. Laboratory
    Associated volumes
    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 S. : graph. Darst.
    Series Statement: CRREL Report 78-6
    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 segreg ation-freezing front Numerical computation Literature cited App endix A. Essence of Portnov’s method App endix B. Frost -heaving without air available ILLUSTRATIONS Figure A particle floating on the heaving ice surface Ice lens forming on the thin water layer Analysis of ice lens formation Frost heaving pressure w as function of TA and W(0,0) TABLES Table Temperatures and degree of saturati on for needle ice formation
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  • 2
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    Series available for loan
    Hanover, NH : Corps of Engineers, U.S. Army Cold Regions Research and Engineering Laboratory
    Associated volumes
    Call number: ZSP-202-323
    In: Research report
    Description / Table of Contents: CONTENTS: Introduction. - The problem. - Reduction to ordinary differential equations. - General solution. - The first solution. - The second solution. - The third solution. - Determination of h(t). - Numerical computation. - Abstract.
    Description / Table of Contents: Herewith presented is the rigorous solution of the freezeback of water in a cylindrical borehole drilled in an ice sheet floating on water, based on the assumption that the temperature distribution does not depend on the vertical direction and the temperature of the water in the borehole is the freezing temperature. The solution is found by using the thickness of the newborn ice in place of time. Because of the complexity of the analysis, the solution can be found only for the first few terms of the series solution. Numerical computation of the solution thus found by use of the first few terms of the series solution yields the growth curve of the newborn ice that reaches maximum at a certain time. The solution ceases to be valid before the time of maximum is reached.
    Type of Medium: Series available for loan
    Pages: iii, 13 S. : graph. Darst.
    Series Statement: Research report / Cold Regions Research and Engineering Laboratory, CRREL, US Army Material Command 323
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  • 3
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    Series available for loan
    Hanover, NH : U. S. Cold Regions Res. and Eng. Laboratory
    Associated volumes
    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 S. : zahlr. graph. Darst.
    Series Statement: CRREL Report 78-5
    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 ILLUSTRATIONS Figure Maxwell-Voigt type four element model Definition of the ramp/steady loading Distributed load test by Frankenstein Concentrated load test by Frankenstein Comparison of the calculated curves and measured points of Frankenstein’s con-centrated load test Elements of TE The TE of Frankenstein’s distributed load test The TE of Frankenstein’s concentrated load test Graphs of asymptotic integral Kin (6.4) Deflection profile Asymptotic deflection profile Contour of integrations (B.5) and (B.6) TABLES Table Material constants found by using the time-lapse curves of Frankenstein’s distributedload test Material constants found by using the time-lapse curves of Frankenstein’s con-centrated load test Final time of the three tests
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  • 4
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    Series available for loan
    Hanover, NH : U. S. Cold Regions Res. and Eng. Laboratory
    Associated volumes
    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 S. : Ill.
    Series Statement: CRREL Report 78-14
    Language: English
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  • 5
    Series available for loan
    Series available for loan
    Hanover, NH : Army Cold Regions Research and Engineering Laboratory
    Associated volumes
    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
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  • 6
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    Series available for loan
    Hanover, NH : Corps of Engineers, U.S. Army Cold Regions Research and Engineering Laboratory
    Associated volumes
    Call number: ZSP-202-307
    In: Research report
    Description / Table of Contents: CONTENTS: Introduction. - Part 1.The concept of isotropy clarified by the introduction of non-coaxial mechanics. - Part 2. Systematization of the theory of plasticity with indefinite angle of non-coaxiality. - Analysis of stress. - Analysis of strain-rate. - Principle of partial coincidence. - Strain-rate characteristic directions. - Equations for practical use. - Conclusion. - Literature cited. - Appendix A.The sense of the [Sigma],[Gamma] coordinate system. - Appendix B. Another derivation of the equations of velocity components. - Appendix C. Equations of velocity components in stress characteristic directions.
    Description / Table of Contents: One of the difficulties that have hampered the development of the mathematical theory of soil plasticity was recently overcome by Mandl and Luque. They showed that the non-coaxiality of the principal axes of a stress tensor and a strain-rate tensor can occur only in plane deformation. Their assumption that the angle of non-coaxiality should be a material constant cannot be supported, however. The angle of noncoaxiality should be determined so that the solution to the given problem can exist. It is demonstrated in one of the examples in this paper that a well-known solution in which the angle of non-coaxiality is assumed to be zero does violate the assumed boundary condition. The theory was reorganized bv using new insights given by Mandl and Luque. It is concluded that still missing is one condition that enables us to determine the angle of non-coaxiality as a function of space.
    Type of Medium: Series available for loan
    Pages: iii, 31 S. : graph. Darst.
    Series Statement: Research report / Cold Regions Research and Engineering Laboratory, CRREL, US Army Material Command 307
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  • 7
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    Series available for loan
    Hanover, NH : Corps of Engineers, U.S. Army, Cold Regions Research and Engineering Laboratory
    Associated volumes
    Call number: ZSP-202-293
    In: Research report
    Description / Table of Contents: CONTENTS: Introduction. - What is a spline function?. - 1. Determination of a cubic spline. - 2. Effect of end conditions. - 3. Some properties of cubic splines. - Application to a lake temperature observation. - 1. Observed temperatures. - 2. Integral residuals of the observed temperatures. - 3. Theoretical temperature distributions. - Conclusion. - Literature cited.
    Description / Table of Contents: Numerical differentiation by use of classical interpolation formulas yields a diversity of results. Consistent numerical differentiation can be performed by using a spline function as an interpolating function. As an application, temperature observed in a lake is numerically differentiated as a function of time and of depth by use of cubic splines. The deviation of the actual heat transfer mechanism from vertical heat conduction can thus be detected. The reliability of numerical differentiation by spline functions is manifest in this example.
    Type of Medium: Series available for loan
    Pages: iii, 18 S. : Ill.
    Series Statement: Research report / Cold Regions Research and Engineering Laboratory, CRREL, US Army Material Command 293
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  • 8
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    Series available for loan
    Hanover, NH : U.S. Army Cold Regions Research and Engineering Laboratory
    Associated volumes
    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
    Language: English
    Location: AWI Archive
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  • 9
    Series available for loan
    Series available for loan
    Hanover, NH : U. S. Cold Regions Res. and Eng. Laboratory
    Associated volumes
    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 S. : graph. Darst.
    Series Statement: CRREL Report 78-7
    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 ILLUSTRATIONS Figure Pole on the stress plane Tangential stress in the physical plane Stress characteristic directions Strain rate Mohr circle superimposed on the stress Mohr circle Geometry of the +m coincidence Geometry of the -m coincidence Domains on the Mohr circle the case of +m coincidence Domains on the Mohr circle — the case of -m coincidence A net of stress characteristic lines in the ground sustaining a rectangular load Geometry of the characteristic directions of Figure 6a The first and second subregions of the constant density region Solution in the second subregion Velocity field in the passive region TABLES Table Velocity components on the boundaries of the passive region
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  • 10
    Publication Date: 2020-01-01
    Print ISSN: 0264-1275
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Published by Elsevier
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