國立高雄大學圖資館 |

A simplified approach to the classical laminate theory of composite materialsapplication of bar and beam elements /

Record Type:	Electronic resources : Monograph/item
Title/Author:	A simplified approach to the classical laminate theory of composite materialsby Andreas Öchsner.
Reminder of title:	application of bar and beam elements /
Author:	Öchsner, Andreas.
Published:	Cham :Springer Nature Switzerland :2025.
Description:	xii, 148 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Composite materials.
Online resource:	https://doi.org/10.1007/978-3-031-98052-7
ISBN:	9783031980527$q(electronic bk.)

A simplified approach to the classical laminate theory of composite materialsapplication of bar and beam elements /
Öchsner, Andreas.

A simplified approach to the classical laminate theory of composite materialsapplication of bar and beam elements /[electronic resource] :by Andreas Öchsner. - Second edition. - Cham :Springer Nature Switzerland :2025. - xii, 148 p. :ill., digital ;24 cm. - Advanced structured materials,v. 2421869-8441 ;. - Advanced structured materials ;v.13..

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.

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.

ISBN: 9783031980527$q(electronic bk.)

Standard No.: 10.1007/978-3-031-98052-7doiSubjects--Topical Terms:

196714
Composite materials.

LC Class. No.: TA418.9.C6

Dewey Class. No.: 620.118

A simplified approach to the classical laminate theory of composite materialsapplication of bar and beam elements /
LDR:03458nmm a2200349 a 4500 001 690505
003 DE-He213
005 20251013130433.0
006 m d
007 cr nn 008maaau
008 260409s2025 sz s 0 eng d
020 $a 9783031980527$q(electronic bk.)
020 $a 9783031980510$q(paper)
024 7 $a 10.1007/978-3-031-98052-7 $2 doi
035 $a 978-3-031-98052-7
040 $a GP $c GP
041 0 $a eng
050 4 $a TA418.9.C6
072 7 $a PHD $2 bicssc
072 7 $a SCI065000 $2 bisacsh
072 7 $a PHD $2 thema
082 0 4 $a 620.118 $2 23
090 $a TA418.9.C6 $b O16 2025
100 1 $a Öchsner, Andreas. $3 543164
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 Second edition.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2025.
300 $a xii, 148 p. : $b ill., digital ; $c 24 cm.
490 1 $a Advanced structured materials, $x 1869-8441 ; $v 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.
650 0 $a Composite materials. $3 196714
650 1 4 $a Continuum Mechanics. $3 913390
650 2 4 $a Composites. $3 918982
650 2 4 $a Computational Science and Engineering. $3 274685
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Advanced structured materials ; $v v.13. $3 557986
856 4 0 $u https://doi.org/10.1007/978-3-031-98052-7
950 $a Physics and Astronomy (SpringerNature-11651)