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2018 | Buch

Classification of Composite Materials Kapitel lesen Erstes Kapitel lesen

Mechanics of Composite Structural Elements

verfasst von: Prof. Dr. Holm Altenbach, Prof. Dr. Johannes Altenbach, Prof. Dr. Wolfgang Kissing

Verlag: Springer Singapore

Enthalten in: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik"

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Über dieses Buch

This second edition of the textbook presents a systematic introduction to the structural mechanics of composite components. The book focusses on modeling and calculation of sandwiches and laminated composites i.e. anisotropic material. The new edition includes an additional chapter covering the latest advances in both research and applications, which are highly relevant for readers.

The textbook is written for use not only in engineering curricula of aerospace, civil and mechanical engineering, but also for materials science and applied mechanics. Furthermore, it addresses practicing engineers and researchers. No prior knowledge of composite materials and structures is required for the understanding of its content. The book is close to classical courses of "Strength of Materials" and "Theory of Beams, Plates and Shells" but it extends the classic content on two topics: the linear elastic material behavior of isotropic and non-isotropic structural elements, and inhomogeneous material properties in the thickness direction. The Finite Element Analysis of laminate and sandwich structures is briefly presented. Many solved examples illustrate the application of the techniques learned.

Inhaltsverzeichnis

Frontmatter

Introduction, Anisotropic Elasticity, Micromechanics

Frontmatter
Chapter 1. Classification of Composite Materials
Abstract
Fibre reinforced polymer composite systems have become increasingly important in a variety of engineering fields. Naturally, the rapid growth in the use of composite materials for structural elements has motivated the extension of existing theories in structural mechanics, therein.
Holm Altenbach, Johannes Altenbach, Wolfgang Kissing
Chapter 2. Linear Anisotropic Materials
Abstract
The classical theory of linear elastic deformable solids is based on the following restrictions to simplify the modelling and analysis:
  • The body is an ideal linear elastic body.
  • All strains are small.
  • The material of the constituent phases is homogeneous and isotropic.
Holm Altenbach, Johannes Altenbach, Wolfgang Kissing
Chapter 3. Effective Material Moduli for Composites
Abstract
Composite materials have at least two different material components which are bonded. The material response of a composite is determined by the material moduli of all constituents, the volume or mass fractions of the single constituents in the composite material, by the quality of their bonding, i.e. of the behavior of the interfaces, and by the arrangement and distribution of the fibre reinforcement, i.e. the fibre architecture.
Holm Altenbach, Johannes Altenbach, Wolfgang Kissing

Modelling of a Single Laminae, Laminates and Sandwiches

Frontmatter
Chapter 4. Elastic Behavior of Laminate and Sandwich Composites
Abstract
A lamina has been defined as a thin single layer of composite material. A lamina or ply is a typical sheet of composite materials, which is generally of a thickness of the order 1 mm. A laminate is constructed by stacking a number of laminae in the direction of the lamina thickness. The layers are usually bonded together with the same matrix material as in the single lamina.
Holm Altenbach, Johannes Altenbach, Wolfgang Kissing
Chapter 5. Classical and Improved Theories
Abstract
In this chapter, the theoretical background for two commonly used structural theories for the modelling and analysis of laminates and sandwiches is considered, namely the classical laminate theory and the first-order shear deformation theory. The classical laminate theory (CLT) and the first-order shear deformation theory (FSDT) are the most commonly used theories for analyzing laminated or sandwiched beams, plates and shells in engineering applications. The CLT is an extension of Kirchhoff’s classical plate theory for homogeneous isotropic plates to laminated composite plates with a reasonable high width-to-thickness ratio.
Holm Altenbach, Johannes Altenbach, Wolfgang Kissing
Chapter 6. Failure Mechanisms and Criteria
Abstract
Failure of structural elements can be defined in a different manner. As in the case of buckling, a structural element may be considered failure though the material is still intact, but there are excessive deformations. In Chap. 6 failure will be considered to be the loss of integrity of the composite material itself.
Holm Altenbach, Johannes Altenbach, Wolfgang Kissing

Analysis of Structural Elements

Frontmatter
Chapter 7. Modelling and Analysis of Beams
Abstract
In Chap. 1 the classification of composite materials, the significance, advantages and limitations of composite materials and structures and the material characteristics of the constituents of composite materials were considered. Chapter 2 gave a short introduction to the governing equations of the linear theory of anisotropic material behavior. Chapter 3 defined effective material moduli of composites including elementary mixture rules and improved formulas.
Holm Altenbach, Johannes Altenbach, Wolfgang Kissing
Chapter 8. Modelling and Analysis of Plates
Abstract
The modelling and analysis of plates constituted of laminate or sandwich material is a problem of more complexity than that of beams, considered in Chap. 7. Generally, plates are two-dimensional thin structure elements with a plane middle surface. The thickness h is small relatively to the two other dimensions a,b (Fig. 8.1).
Holm Altenbach, Johannes Altenbach, Wolfgang Kissing
Chapter 9. Modelling and Analysis of Circular Cylindrical Shells
Abstract
In the previous Chaps. 7 and 8 we have considered beams and plates, i.e. one- and two-dimensional structural elements with straight axes and plane reference surfaces. Thin-walled laminated or sandwich shells can be also modelled as two-dimensional structural elements but with single or double curved reference surfaces. To cover shells of general shape a special book is necessary, because a general treatment of shells of any geometry demands a detailed application of differential geometry relations.
Holm Altenbach, Johannes Altenbach, Wolfgang Kissing

Modelling and Analysis of Thin-Walled Folded Plate Structures

Frontmatter
Chapter 10. Modelling and Analysis of Thin-walled Folded Structures
Abstract
The analysis of real structures always is based on a structural and mathematical modelling. It is indispensable for obtaining realistic results that the structural model represents sufficiently accurate the characteristic structure behavior.
Holm Altenbach, Johannes Altenbach, Wolfgang Kissing

Finite Classical and Generalized Beam Elements, Finite Plate Elements

Frontmatter
Chapter 11. Finite Element Analysis
Abstract
The Finite Element Method (FEM) is one of the most effective methods for the numerical solution of field problems formulated in partial differential equations. The basic idea of the FEM is a discretization of the continuous structure into substructures. This is equivalent to replacing a domain having an infinite number of degrees of freedom by a system having a finite number of degrees of freedom. The actual continuum or structure is represented as an assembly of subdivisions called finite elements. These elements are considered to be interconnected at specified joints which are called nodes.
Holm Altenbach, Johannes Altenbach, Wolfgang Kissing
Backmatter
Metadaten
Titel
Mechanics of Composite Structural Elements
verfasst von
Prof. Dr. Holm Altenbach
Prof. Dr. Johannes Altenbach
Prof. Dr. Wolfgang Kissing
Copyright-Jahr
2018
Verlag
Springer Singapore
Electronic ISBN
978-981-10-8935-0
Print ISBN
978-981-10-8934-3
DOI
https://doi.org/10.1007/978-981-10-8935-0

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