MECHANICS OF BIMODULAR COMPOSITE STRUCTURES

ABSTRACT This paper is a survey of the mechanics of beam and plate structures laminated of fiber-reinforced composite materials having different elastic and thermoelastic properties in tension and compression. Examples of such materials include tire cord-rubber, wire-reinforced solid propellants, and soft biological materials. Specific topics covered include: mathematical models of fiber-reinforced bimodular materials and their experimental verification; static and dynamic analysis of laminated and sandwich beams; plane elasticity; analysis of deflection and free and transient vibration of laminated plates and shells. In all of these analyses, thickness-shear deformation and rotatory inertia are included. The solution methods used include closed-form, transfer-matrix, and finite-element techniques.

[1]  C. Zweben The Flexural Strength of Aramid Fiber Composites , 1978 .

[2]  J. Reddy,et al.  Analyses of Plates Constructed of Fiber-Reinforced Bimodulus Composite Materials. , 1979 .

[3]  Samuel Kelly Clark The Plane Elastic Characteristics of Cord—Rubber Laminates , 1963 .

[4]  E. J. Seldin Stress-strain properties of polycrystalline graphites in tension and compression at room temperature , 1966 .

[5]  I. Yannas,et al.  Dependence of stress-strain nonlinearity of connective tissues on the geometry of collagen fibers. , 1976, Journal of biomechanics.

[6]  P. Ducheyne,et al.  The mechanical behaviour of porous austenitic stainless steel fibre structures , 1978 .

[7]  Y. Tarnopol’skii,et al.  Effect of fiber curvature on the modulus of elasticity for unidirectional glass-reinforced plastics in tension , 1967 .

[8]  L. Brun A statically mechanically stable elastic solid is hyperelastic , 1976 .

[9]  J. H. Greenwood,et al.  Compressive behaviour of Kevlar 49 fibres and composites , 1974 .

[10]  Farhad Tabaddor Analysis for beams made of bi-modulus elastic orthotropic materials , 1976 .

[11]  Robert M. Jones,et al.  Apparent Flexural Modulus and Strength of Multimodulus Materials , 1976 .

[12]  Y. Benveniste A constitutive theory for transversely isotropic bimodulus materials with a class of steady wave solutions , 1983 .

[13]  Robert M. Jones,et al.  Stress-strain relations for materials with different moduli in tension and compression , 1977 .

[14]  Joseph D. Walter,et al.  Radial Tire Cord-Rubber Composites , 1976 .

[15]  T. Topper,et al.  Bending of glass fibre reinforced plastic (GFRP) plates on elastic supports , 1978 .

[16]  C. W. Bert,et al.  Bending of thick beams of bimodulus materials , 1982 .

[17]  Leonard R. Herrmann,et al.  Response of Reinforcing Wires to Compressive States of Stress , 1967 .

[18]  Simple method to determine nonlinear compressive and tensile stress—strain curves using a sandwich beam , 1982 .

[19]  D. G. Swift,et al.  The flexural strength of cement-based composites using low modulus (sisal) fibres , 1979 .

[20]  N. Kamiya Thermal stress in a bimodulus thick cylinder , 1977 .

[21]  Nathan M. Newmark,et al.  A Method of Computation for Structural Dynamics , 1959 .

[22]  C. Bert,et al.  Cross-Ply Elliptic Plates of Bimodulus Material , 1980 .

[23]  J. N. Reddy,et al.  THERMOELASTICITY OF CIRCULAR CYLINDRICAL SHELLS LAMINATED OF BIMODULUS COMPOSITE MATERIALS , 1981 .

[24]  Wim H.M. Van Dreumel,et al.  Non Hookean Behaviour in the Fibre Direction of Carbon-Fibre Composites and the Influence of Fibre Waviness on the Tensile Properties , 1977 .

[25]  Charles W. Bert,et al.  Vibration of cylindrical shells of bimodulus composite materials , 1981 .

[26]  R. Jones Buckling of stiffened multilayered circular cylindrical shells with different orthotropic moduli in tension and compression , 1971 .

[27]  Christer Fellers,et al.  The mechanism of failure in bending of paperboard , 1980 .

[28]  A Simkin,et al.  The mechanical testing of bone in bending. , 1973, Journal of biomechanics.

[29]  R. Crawford An evaluation of boron-polymer film layer composites for high-performance structures , 1968 .

[30]  J. N. Reddy,et al.  Thermal Bending of Thick Rectangular Plates of Bimodulus Composite Materials , 1980 .

[31]  J. Reddy,et al.  Vibration of Thick Rectangular Plates of Bimodulus Composite Material. , 1981 .

[32]  C. W. Bert,et al.  Transient response of a thick beam of bimodular material , 1982 .

[33]  Theoretical and Experimental Bases for More Precise Elastic Properties of Epoxy , 1968 .

[34]  R. R. Nachlinger,et al.  Bending of a beam made of a fiber-reinforced viscoelastic material , 1969 .

[35]  H. S. Morgan,et al.  Analysis of Nonlinear Stress-Strain Behavior of Fiber-Reinf orced Composite Materials , 1977 .

[36]  O. Zienkiewicz,et al.  Stress Analysis of Rock as a ‘No Tension’ Material , 1968 .

[37]  D. Kline,et al.  COMPARISON OF STATIC AND DYNAMIC MECHANICAL PROPERTIES OF SOME EPOXY-MATRIX COMPOSITES , 1974 .

[38]  N. R. Adsit,et al.  Mechanical Behavior of Three-Dimensional Composite Ablative Materials , 1972 .

[39]  C. W. Bert,et al.  Bending of Thick Rectangular Plates Laminated of Bimodulus Composite Materials , 1981 .

[40]  Deflection of Thin Rectangular Plates of Cross-Plied Bimodulus Material , 1980 .

[41]  V. Roberts,et al.  Passive mechanical properties of uterine muscle (myometrium) tested in vitro. , 1978, Journal of biomechanics.

[42]  F. Tabaddor,et al.  Reinforced composite materials with curved fibers , 1971 .

[43]  A. Ajaz,et al.  Stress-strain behaviour of two compacted clays in tension and compression , 1975 .

[44]  J. Reddy,et al.  On the Behavior of Plates Laminated of Bimodulus Composite Materials , 1982 .

[45]  Robert M. Jones,et al.  Bending and extension of cross-ply laminates with different moduli in tension and compression , 1980 .

[46]  B. Haimson,et al.  Stresses Around Boreholes in Bilinear Elastic Rock , 1974 .

[47]  B. Harris,et al.  Compression Strength of Polyester Resin Reinforced with Steel Wires , 1970 .

[48]  C. W. Bert,et al.  Models for Fibrous Composites With Different Properties in Tension and Compression , 1977 .

[49]  G. Pincus,et al.  AN EXPERIMENTAL INVESTAGATION OF THE STRAIN DISTRIBUTION IN THE SPLIT CYLINDER TEST , 1967 .

[50]  J. Reddy,et al.  Finite-element analysis of laminated bimodulus composite-material plates , 1980 .