Mechanics of Curved Composites

1. Front Matter

   Pages i-xvi

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2. Introduction

   • S. D. Akbarov, A. N. Guz

   Pages 1-6

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3. Plane-Curved Composites

   • S. D. Akbarov, A. N. Guz

   Pages 7-54

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4. General Curved Composites

   • S. D. Akbarov, A. N. Guz

   Pages 55-81

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5. Problems for Curved Composites

   • S. D. Akbarov, A. N. Guz

   Pages 83-127

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6. Plane-Strain State in Periodically Curved Composites

   • S. D. Akbarov, A. N. Guz

   Pages 129-220

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7. Composites with Spatially Periodic Curved Layers

   • S. D. Akbarov, A. N. Guz

   Pages 221-253

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8. Locally-Curved Composites

   • S. D. Akbarov, A. N. Guz

   Pages 255-283

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9. Fibrous Composites

   • S. D. Akbarov, A. N. Guz

   Pages 285-333

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10. Geometrically Non-Linear Problems

    • S. D. Akbarov, A. N. Guz

    Pages 335-353

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11. Normalized Modulus of Elasticity

    • S. D. Akbarov, A. N. Guz

    Pages 355-365

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12. Fracture Problems

    • S. D. Akbarov, A. N. Guz

    Pages 367-400

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13. Viscoelastic Unidirectional Composites in Compression

    • S. D. Akbarov, A. N. Guz

    Pages 401-414

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14. Geometrical Non-Linear and Stability Problems

    • S. D. Akbarov, A. N. Guz

    Pages 415-425

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15. Back Matter

    Pages 427-448

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This book is the frrst to focus on mechanical aspects of fibrous and layered composite material with curved structure. By mechanical aspects we mean statics, vibration, stability loss, elastic and fracture problems. By curved structures we mean that the reinforcing layers or fibres are not straight: they have some initial curvature, bending or distortion. This curvature may occur as a result of design, or as a consequence of some technological process. During the last two decades, we and our students have investigated problems relating to curved composites intensively. These investigations have allowed us to study stresses and strains in regions of a composite which are small compared to the curvature wavelength. These new, accurate, techniques were developed in the framework of continuum theories for piecewise homogeneous bodies. We use the exact equations of elasticity or viscoelasticity for anisotropic bodies, and consider linear and non-linear problems in the framework of this continuum theory as well as in the framework of the piecewise homogeneous model. For the latter the method of solution of related problems is proposed. We have focussed our attention on self-balanced stresses which arise from the curvature, but have provided sufficient information for the study of other effects. We assume that the reader is familiar with the theory of elasticity for anisotropic bodies, with partial differential equations and integral transformations, and also with the Finite Element Method.

• composite
• finite element method
• materials
• mechanics
• stability

• Yildiz Technical University, Istanbul, Turkey

  S. D. Akbarov

• Institute of Mathematics and Mechanics of Academy of Science of Azerbaijan, Baku, Azerbaijan

  S. D. Akbarov

• Institute of Mechanics of National Academy of Science of Ukraine, Kiev, Ukraine

  A. N. Guz

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