A Simplified Approach to the Classical Laminate Theory of Composite Materials: Application of Bar and Beam Elements (Advanced Structured Materials, 192) free ebook download.

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A Simplified Approach to the Classical Laminate Theory of Composite Materials: Application of Bar and Beam Elements (Advanced Structured Materials, 192) free ebook download

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Author(s):	Andreas Ochsner

Date:	2024	Format:	pdf	Language:	English	ISBN/ASIN:	3031381912
Pages:	134	OCR:		Quality:		ISBN13:
Uploader:	risotor	Upload Date:	1/23/2024 6:52:45 PM

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3031381912 pdf
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 easier 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 stressstrain 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.

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Tags: Application Approach Beam Classical Composite Elements Laminate Materials Simplified Theory

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