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### Fibrous Composites Design and Analysis

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Fibrous Composites, Design and Analysis

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Preface Excerpt

For the design of machines and mechanisms in various branches of modern engineering (in particular, when high temperatures, high speeds, high pressure, etc. are applied), we need new materials with many different, even contradictory properties, depending on the specifications of the designer. The research worker in the science of materials can only solve such problems efficiently and quickly by a rational synthesis of materials with predetermined complex properties. For this, he must have a wide knowledge of solid-state physics, which can show him how to predict the properties of the material prepared. He must also be able to select that variant of the most flexible technique which makes it possible to synthesize or design a material combining the components with given characteristics into a homogeneous, and sometimes also into a complex, composite.

There is still another aspect of the given problem, information and its In material science information is not only very complicated pocessing. because of the many sources, but also because to understand the data we must have more and more additional information on other sciences, such as mathematics, physics, chemistry, and mechanics.

Therefore, the material research scientist and the designer should not obtain the information in the original form, even in a systematized one, but as data treated and analyzed by highly specialized experts and published in monographs or in reference books. Such a monograph should include a sufficiently complete and rigid representation of the physics involved in each problem, and the fundamental theoretical concepts in the given field, and also a detailed and exhaustive description of the production of both the starting substances and materials and the main applications of the materials. Finally, it must have an exhaustive and detailed bibliography, with references describing the properties of the materials of the given group, and the range of their application.

TOC

Preface vii

Chapter I .

Equations of the Continuum Theory of Composite Materials

1. Real microstructures and models of composite fibers

2. Strength and elasticity of the fibers

3. Properties of polymer matrices under quasistatic load

4. Behavior of polymers at high temperatures

5. Properties of plastics under periodic stresses

6. Thermal conductivity and diffusion in the continuum

7. Electromagnetic field equations in continuous media

Chapter II .

The Internal Stress Field and the Modulus of Elasticity of Composite Fibers

1. The problem of longitudinal shear

2. The optimum volume content of components in fiber

3. Effect of the type of microstructure on the properties composites in shear

4. Longitudinal shear of multicomponent materialsof the composite material

5. Transverse shear of composite fibers

6. The moduli of elasticity in transverse shear for multicomponent materials

7. Stress in the microstructure and the elastic constants of

8. Longitudinal tension of multicomponent media regular structure

9. Transverse tension of reinforced bodies with a simple

10. Transverse tension of multicomponent materials orientation

11. The elastic constants in areas inclined to the fiber the composite material in longitudinal tension

Chapter III.

Viscoelastic Properties of Reinforced Materials ........

1. Viscoelastic properties of reinforced plastics in shear .....

2. Viscoelasticity of reinforced plastics in longitudinal and transverse tension

3. Fundamental equations on the viscoelasticity theory of linearly reinforced plastics ..................

4. Elastic heredity of multicomponent materials

Chapter IV.

Thermal Conductivity and Diffusion with Absorption

1. Thermal conductivity of composites with solid and hollow fibers in transverse heat flux

2. Longitudinal thermal conductivity of reinforced materials

3. Thermal conductivity of multicomponent reinforced materials

4. Thermal conductivity equations for reinforced bodies

5. Diffusion in absorbing media

Chapter V.

Thermal Expansion and Contraction

1. Thermoelastic expansion of composite materials with solid and hollow fibers

2. Effect of the type of microstructure on thermal expansion

3. Thermal expansion of multicomponent materials

4. Effect of the viscoelastic properties of the matrix on the thermal expansion and intemal stress field

5. Contraction and residual stresses in glass-fiber reinforced plastics

Chapter VI.

The Electromagnetic Field in Fiber Composites

1. Electrostatics of reinforced dielectrics

2. Dielectric constant in a field which changes

3. Magnetostatics of reinforced materials

4. Electromagnetostatics of dielectrics reinforced by combined or hollow fibers

5. Dielectric constant and permeability of multicomponent materials

6. Electromagnetic field equations in reinforced materials

7. High-frequency field in materials reinforced by conductors

8. Longitudinally propagating waves in conductor-reinforced materials

9. Electromagnetic waves in dielectric fibers

Chapter VII.

Elastic Waves in Reinforced Media

1. Waves in an anisotropic viscoelastic medium

2. Energy dissipation in a reinforced material

3. Elastic waves taking into account diffraction

4. Longitudinal shear waves

5. Transverse propagation of elastic waves

6. Longitudinal propagation of elastic waves

Chapter VIII .

Analogies and Modeling of Composites

1. Analogies in the theory of composite fibers

2. Analogies in hereditary reinforced media

3. Analogies of dynamic fields in two-phase fiber composites

4. Nonlinear analogies of polymers

5 Analogies in the theory of disperse-reinforced composites

6 . Mathematical modeling of composites

Chapter IX .

Stress Concentration around Holes in Plates and Shells Made of Reinforced Materials

1. Stress concentration around a circular hole in plates made

2. Stress distribution around an elliptic hole or crack in a

3. Methods for studying stresses in stiff-core three-layer

4. Stress concentration around a hole in a spherical sandwich of glass-fiber reinforced laminated polymers plate made of glass-fiber reinforced plastic spherical shells (sandwich shells) with notches shell with a light core

Chapter X .

The Strengthening Effect of Reinforcement in Composite Fibers

1. The special features of metal- or ceramic-based reinforced materials

2. Requirements for fibers and matrix

3. Strength of composites reinforced by continuous parallel fibers

4. Elastic constants of composites reinforced by oriented continuous fibers

5. Strength of materials with parallel discrete fibers

6 . Statistical analysis of the fiber strength

7. Statistical model of the fracture of reinforced material in tension

8. Types of composite fracture

9. Compressive strength of composites

10. Thermal stresses in composite fibers

Chapter XI .

Technological Processes for the Production of Composite Fibers and their Physicomechanical Properties .

1 . Production of composites by powder metallurgy

2 . Application of coatings

3 . Directional crystallization

4 . Composites based on copper or copper alloys

5. Composites based on other ceramic materials Reinforced Plastics

6 . Composites based on aluminum or aluminum alloys

7 . Composites based on nickel or nickel alloys

8 . Composites based on titanium

9 . Composites based on iron. nickel. magnesium. and their alloys

10 . Fiber-reinforced ceramic materials

11 . Composites based on alumina and silica

12 . Composites based on other ceramic materials

Chapter XII

Reinforced Plastics

1 . Main principles of the production of reinforced plastics

2 . Types and properties of glass fibers

3 .Types of reinforced plastics

4 . Plastics reinforced by high-melting fibers

5 . Range of application of reinforced plastics

Chapter XI11 .

Filters. Transpirators. Packers. and Dampers Made of Fibrous Material

1 . Methods for producing high-strength articles from fibers

2 . Filter materials made from fibers

3 . Transpiration materials with a fibrous structure

4 .Fiber-base packing materials

5 . Dampers of mechanical and sonic vibrations

Chapter XIV .

Production of Reinforced Materials and their Physicomechanical Properties

1 . hlechanical methods

2 . Preparation of fibers from fused metals

3 . Physicochemical methods

4 . Metal-coated fibers

5 . Physicoinechanical properties of reinforcing materials

Chapter XV .

Production of Fibrous Structures by Directional Crystallization of Eutectic Alloys and Heat Treatment of Solid Solutions

1. Properties of Composites

2 . Advantages and disadvantages of cast composites

List of abbreviations

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