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symmetric laminates
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Image
Published: 01 January 2001
Fig. 1 Local shear stress in a symmetric laminate subject to a uniform axial stress in the x -direction (σ x ). The global strain is shown, but there is no in-plane shear strain (γ xy ). Local shear stress (τ xy ) is developed in each ply.
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Image
Published: 01 January 2001
Image
Published: 01 January 1997
Fig. 11 Symmetric laminate properties for carbon-fiber ( V F = 65%)/epoxy-resin composites with variable percentages of plies at 0, ±45, and 90°. (a) Tensile modulus. (b) Shear moudulus. (c) Poisson's ratio (tension). (d) A-basis tensile strength. (e) A-basis compression strength. (f
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Book Chapter
Book: Composites
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003378
EISBN: 978-1-62708-195-5
... the development of the relations between mid-surface strains and curvatures and membrane stress and moment resultants. The article discusses the properties, such as thermal expansion, moisture expansion, and conductivity, of symmetric laminates and unsymmetric laminates. It describes the distribution...
Abstract
The properties of unidirectional composite (UDC) materials are quite different from those of conventional, metallic materials. This article provides information on the treatment of UDC stress-strain relations in the forms appropriate for analysis of thin plies of material. It explains the development of the relations between mid-surface strains and curvatures and membrane stress and moment resultants. The article discusses the properties, such as thermal expansion, moisture expansion, and conductivity, of symmetric laminates and unsymmetric laminates. It describes the distribution of temperature and moisture through the thickness of a laminate. Stresses caused due to mechanical loads, temperature, and moisture on the laminate are analyzed. The article concludes with information on interlaminar cracking, free-edge delamination, and transverse cracks of laminates.
Image
Published: 01 January 1997
Fig. 12 Shape stability of right-angle laminates after cool-down from cure. All laminates are 90° before cure. (a) Symmetric laminate. The shrinkage in the matrix upon resin curing and the difference in coefficients of thermal expansion in-plane and through-plane cause a right angle to become
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Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002478
EISBN: 978-1-62708-194-8
.... Composite laminates are constructed from lamina with uniaxial fiber orientation and frequently from textile fabrics as well. The article explains the characteristics of symmetric in-plane and through-thickness laminates; asymmetric in-plane and symmetric through-thickness laminates; asymmetric laminates...
Abstract
This article begins with a discussion on fiber-reinforced composite materials and describes the generic behavior and structure/property relationships of composites. The article summarizes lamina properties and presents equations that help in the calculation of lamina properties. Composite laminates are constructed from lamina with uniaxial fiber orientation and frequently from textile fabrics as well. The article explains the characteristics of symmetric in-plane and through-thickness laminates; asymmetric in-plane and symmetric through-thickness laminates; asymmetric laminates; and curved laminates. It provides information on controlled thermal expansion composites, metal-matrix composites, and ceramic-matrix composites. The article illustrates the types of bonded joints and concludes with a discussion on design for manufacturing.
Image
Published: 01 January 1997
Fig. 9 Deformation behavior of composites. The deformations for composites with various symmetries are schematically illustrated for in-plane loading and bending. Generally, laminates that are symmetric through the thickness and symmetric in-plane with respect to the applied stress are used
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Book: Composites
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003385
EISBN: 978-1-62708-195-5
... for thin, symmetric, anisotropic plates. Orthotropic Plates In the full form of the plate equations, the terms D 16 and D 26 are bending-twisting coupling terms. If D 16 = D 26 = 0, then the plate is orthotropic in bending. Many composite laminates are not exactly orthotropic (see...
Abstract
This article focuses on the unique characteristics of composites and laminated plates, including orthotropic, anisotropic, and unsymmetric plates. It discusses the stability issues associated with practical, structural laminates based on the finite stack effects and transverse shear stiffness effects. The article presents the study of instability associated with postbuckling behavior and hygrothermal buckling in composite sandwich panels and shell panels.
Book: Composites
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003398
EISBN: 978-1-62708-195-5
... in the “Glossary” in this Volume): Following are a list of common definitions relating to fibers and fabrics: The following terms apply to the resin used as a matrix as well as impregnating resins: Fig. 2 Typical balanced-symmetric laminate Fig. 3 Plain weave, yarn interlacing Fig...
Abstract
This article presents the basic guidelines considered in designing a composite structure, and the basic definitions of terms that apply to composites. It describes the analysis of a composite laminate based on stress-strain relationships, stress-strain load relationships, general load displacement case, and general load case solution. Factors affecting the composite materials properties and allowables of fiber-reinforced polymers are reviewed. The article discusses the process considerations for mold design, such as master model, metal tooling, composite tooling, and tool care. It explains the resin selection in designing the composite for use in a particular application. The article illustrates the various methods that are used to process a composite component, namely, wet lay-up, autoclave, resin transfer molding, and vacuum-assisted resin transfer molding. It provides a discussion on electromagnetic interference shielding, electrostatic discharge protection, metal plating, fire resistance, and corrosion resistance on composite materials.
Book Chapter
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 November 1995
DOI: 10.31399/asm.hb.emde.a0003044
EISBN: 978-1-62708-200-6
..., and they will be discussed in more detail in the section on off-axis test specimens. Symmetric Laminates and Laminate Notation The principal material directions within each ply of a laminate are denoted by an x 1 - x 2 axis system. Laminate stacking sequences can be easily described for composites composed...
Abstract
Testing of fiber-reinforced composite materials is performed to determine uniaxial tensile strength, Young's modulus, and Poisson's ratio relative to principal material directions, that helps in the prediction of the properties of laminates. Beginning with an overview of the fundamentals of tensile testing of fiber-reinforced composites, this article describes environmental exposures that often occur during specimen preparation and testing. These include exposures during specimen preparation, and planned exposure such as moisture, damage (impact), and thermal cycling techniques. The article also discusses the test procedures, recommended configurations, test specimen considerations, and safety requirements considered in the four major types of mechanical testing of polymer-matrix composites: tensile test, compression test, flexural test, and shear test.
Book: Composites
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003387
EISBN: 978-1-62708-195-5
... (the z -direction in Fig. 1 ). Fig. 1 Local shear stress in a symmetric laminate subject to a uniform axial stress in the x -direction (σ x ). The global strain is shown, but there is no in-plane shear strain (γ xy ). Local shear stress (τ xy ) is developed in each ply...
Abstract
This article discusses the methods of analyzing the directional dependence of the mechanical properties of composites, especially those perpendicular to the major plane of the laminate. It provides a description of the common indirect load cases and direct out-of-plane load cases. The article concludes with a discussion on composite materials that are reinforced in the z-direction (also known as three-dimensional, or 3-D composites).
Book: Composites
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003390
EISBN: 978-1-62708-195-5
... calculations. Lay-ups are entered in a tabular format, and special functions are available for creating symmetric laminates or rotating the entire laminate by some angle. These functions operate by simply copying plies, so it is not possible to undo a symmetry operation. Loads are entered as stresses...
Abstract
This article begins with a discussion on the criteria for evaluating computer programs for composites structural analysis, including database capabilities, types of engineering calculations supported, interface and operating systems, and technical support. It describes the capabilities of programs, such as CompositePro, ESAComp, and V-Lab that provide a graphical interface, built-in databases, and integrated modules for the different types of analyses. The article reviews the modules of other programs used for composite analysis. The programs include ASCA, CADEC, CoDA, COMPASS, ESDU, LAP, PROMAL, and SACL. The article concludes with information on on-line programs and recourses.
Image
Published: 01 January 2000
Fig. 29 Schmatic of the laminate code (0/90/±45), for a composite material. The laminate code follows an ascending order from the bottom ply. The numerals are ply (or fiber) orientation with respect to the x-axis. The subscript s denotes that the laminate is symmetric with respect
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Book: Composites
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003403
EISBN: 978-1-62708-195-5
... a good production tool. A carefully laid-up laminate, employing much attention to detail, will result in a high-quality mold or fixture that resists leaks and will perform for many cycles. As with other composite structures, it is recommended that a basic quasi-isotropic, balanced, and symmetrical...
Abstract
Composite tooling is the making of tools from composite materials. This article focuses on wet lay-up methods and techniques that are used to fabricate prepreg tooling. It discusses the advantages and disadvantages of composite tools. The article describes the process considerations for composite tool design, such as master model or pattern design selection, fiber and fabric selection, resins, and surface coat and ply. Various tool laminate construction techniques, such as curing and demolding, and cutting and trimming, are reviewed. The article also describes the substructure design for the construction of tool laminates.
Book Chapter
Book: Composites
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003383
EISBN: 978-1-62708-195-5
... ). All the plates discussed here are midplane symmetric, which eliminates bending-stretching coupling. It is, however, possible to include this effect in the analysis if asymmetrical laminates are used. The first ten modes of vibration of a typical plate can be adequately described by using a coarse...
Abstract
Damping is the energy dissipation properties of a material or system under cyclic stress. The vibrational and damping characteristics of composites are important in many applications, including ground-based and airborne vehicles, space structures, and sporting goods. This article describes the damping characteristics of unidirectional composites, when they are subjected to longitudinal shear, longitudinal tension/compression, and transverse tension/compression. It presents equations that govern the overall damping capacity of beams that are cut from laminated plates. The article discusses the effect of temperature on damping and provides information on the relationship between damping and strength.
Book: Composites
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003443
EISBN: 978-1-62708-195-5
... Abstract This article provides the general mechanical testing guidelines for the characterization of lamina and laminate properties. Guidelines are provided for tensile property, compressive property, shear property, flexure property, fracture toughness, and fatigue property test methods...
Abstract
This article provides the general mechanical testing guidelines for the characterization of lamina and laminate properties. Guidelines are provided for tensile property, compressive property, shear property, flexure property, fracture toughness, and fatigue property test methods. The article also tabulates selected standards for lamina and laminate mechanical testing.
Book Chapter
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 November 1995
DOI: 10.31399/asm.hb.emde.a0003046
EISBN: 978-1-62708-200-6
... to make a mold. The laminate stacking order was symmetric and continued to be even as internal plies were terminated. With this type of repair, locating the internal patch may require some ingenuity. With access limited to the external surface, the patch must be installed through the damage cutout...
Abstract
Relatively limited effort has gone into developing repair processes and materials for composites, in contrast to the significant labor and expense that has gone into the development of these materials for numerous critical applications. As composites gain wider acceptance as aerospace materials, there is a need to understand the requirements of the end users regarding repair of these advanced materials. This article focuses on the repair of graphite-epoxy structures designed in a variety of forms for a wide range of load intensities. Five repair concepts developed for generic laminate repair have been validated in this article through the required environmental and load condition tests. These include bonded-scarf joint flush repair, double-scarf joint flush repair, blind-side banded-scarf repair, blind-side sandwich repair, and bonded external patch repair. A brief note on thermoplastic repair concepts is also provided in this article.
Book: Composites
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003407
EISBN: 978-1-62708-195-5
... racers of 35 m or more, and large luxury cruising craft. The article discusses the tooling, laminating practice, curing, mold removal, and quality control, for manufacturing hulls, decks, masts, and appendages using composites. low-volume production sailing craft quality control composites...
Abstract
This article focuses on the design process, materials, and manufacturing techniques for one-off and low-volume production sailing craft. These include racing yachts of typically 10-20 m length for short coastal events, 20-25 m ocean racers, 24 m America's Cup racing craft, multihull racers of 35 m or more, and large luxury cruising craft. The article discusses the tooling, laminating practice, curing, mold removal, and quality control, for manufacturing hulls, decks, masts, and appendages using composites.
Book: Composites
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003393
EISBN: 978-1-62708-195-5
... make the development of allowables significantly more difficult. Other design guidelines can further restrict the permissible design space, as is discussed later. Stacking sequence effects are important, however, even in a symmetric, balanced laminate. For failure modes influenced by bending loads...
Abstract
This article discusses the need for design allowables, development of design allowables, and important factors that affect the selection of the allowable. It provides a comparison between lamina and laminate allowables. The article discusses laminate results and specific techniques used in the statistical development of allowable values.
Book: Composites
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003409
EISBN: 978-1-62708-195-5
.... Another complication for the glass fabric, wet lay- up technology was its inability to provide laminated components with tightly packed, accurately aligned fibers. The “runniness” of liquid wet lay-up resins cannot hold fibers where placed by laminator tools. To provide a stable material with combined...
Abstract
The prepreg hand lay-up process is a versatile, reliable, cost-effective, and high quality process for fabricating large or small components. This article discusses the technique characteristics and applications of the process. It describes the stages involved in the process of lay-up, namely, lay-up definition, ply-kit cutting, layup, debulking, and preparation for curing. The article concludes with a discussion on the component properties and design guidelines of the prepreg hand lay-up process.
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