A Simplified Approach to the Classical Laminate Theory of Composite Materials Application of Bar and Beam Elements /
This book provides a systematic introduction to composite materials, which are obtained by a layer-wise stacking of one-dimensional bar/beam elements. Each layer may have different mechanical properties, but each single layer is considered as isotropic. The major idea is to provide a simplified theo...
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| Κύριος συγγραφέας: | |
|---|---|
| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | Αγγλικά |
| Έκδοση: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
|
| Έκδοση: | 2nd ed. 2025. |
| Σειρά: | Advanced Structured Materials,
242 |
| Θέματα: | |
| Διαθέσιμο Online: | https://doi.org/10.1007/978-3-031-98052-7 |
| Ετικέτες: |
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| 100 | 1 | |a Öchsner, Andreas. |e author. |0 (orcid)0000-0002-8844-3206 |1 https://orcid.org/0000-0002-8844-3206 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 2 | |a A Simplified Approach to the Classical Laminate Theory of Composite Materials |h [electronic resource] : |b Application of Bar and Beam Elements / |c by Andreas Öchsner. |
| 250 | |a 2nd ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2025. | |
| 300 | |a 1 online resource (XII, 148 p. 70 illus.). |b 31 illus. in color. | ||
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| 490 | 1 | |a Advanced Structured Materials, |x 1869-8441 ; |v 242 | |
| 505 | 0 | |a Introduction -- Bar Elements -- Euler-Bernoulli Beam Elements -- Combination of Bar and Beam Elements -- Classical Laminate Theory for One-Dimensional Elements -- Example Problems -- Outlook to the Two-Dimensional Case. | |
| 520 | |a This book provides a systematic introduction to composite materials, which are obtained by a layer-wise stacking of one-dimensional bar/beam elements. Each layer may have different mechanical properties, but each single layer is considered as isotropic. The major idea is to provide a simplified theory to easily understand the classical two-dimensional laminate theory for composites based on laminae with unidirectional fibers. In addition to the elastic behavior, failure is investigated based on the maximum stress, maximum strain, Tsai-Hill, and the Tsai-Wu criteria. Partial differential equations lay the foundation to mathematically describe the mechanical behavior of any classical structural member known in engineering mechanics, including composite materials. The so-called classical laminate theory provides a simplified stress analysis, and a subsequent failure analysis, without the solution of the system of coupled differential equations for the unknown displacements. The procedure provides the solution of a statically indeterminate system based on a generalized stress–strain relationship under consideration of the constitutive relationship and the definition of the so-called stress resultants. This laminate theory is typically provided for two-dimensional plane problems, where the basic structural element is a simple superposition of a classical plane elasticity element with a thin plate element under the consideration of an orthotropic constitutive law. This two-dimensional approach and the underlying advanced continuum mechanical modeling might be very challenging for some students, particularly at universities of applied sciences. Thus, a reduced approach, the so-called simplified classical laminate theory, has been developed. The idea is to use solely isotropic one-dimensional elements, i.e., a superposition of bar and beam elements, to introduce the major calculation steps of the classical laminate theory. Understanding this simplified theory is much easier and the final step it to highlight the differences when moving to the general two-dimensional case. | ||
| 532 | 8 | |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility, including screen reader support, described non-text content (images, graphs), bookmarks for easy navigation, keyboard-friendly links and forms and searchable, selectable text. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. Please note that a more accessible version of this eBook is available as ePub. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Continuum mechanics. | |
| 650 | 0 | |a Composite materials. | |
| 650 | 0 | |a Mathematics |x Data processing. | |
| 650 | 1 | 4 | |a Continuum Mechanics. |
| 650 | 2 | 4 | |a Composites. |
| 650 | 2 | 4 | |a Computational Science and Engineering. |
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| 830 | 0 | |a Advanced Structured Materials, |x 1869-8441 ; |v 242 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-98052-7 |
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