Large deformations of a laminated composite

R. A. Grot; J. D. Achenbach

doi:10.1016/0020-7683(70)90035-1

Large deformations of a laminated composite

R. A. Grot^*, J. D. Achenbach

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

An approximate nonlinear theory is derived to describe the mechanical behavior of a laminated composite consisting of alternating layers of two homogeneous materials subjected to large deformations. The theory is based on two-term expansions of the motion across the thicknesses of the undeformed layers. The kinematics and the balance laws are formulated, and the constitutive equations are worked out for elastic behavior of the constitutive materials. The governing equations are subsequently written out in detail for the case of a small amplitude disturbance superimposed on a large static deformation. The latter system of equations is used to investigate the propagation of small amplitude time-harmonic waves in a prestressed laminated composite.

Original language	English (US)
Pages (from-to)	641-659
Number of pages	19
Journal	International Journal of Solids and Structures
Volume	6
Issue number	5
DOIs	https://doi.org/10.1016/0020-7683(70)90035-1
State	Published - May 1970

ASJC Scopus subject areas

Modeling and Simulation
Materials Science(all)
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1016/0020-7683(70)90035-1

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title = "Large deformations of a laminated composite",

abstract = "An approximate nonlinear theory is derived to describe the mechanical behavior of a laminated composite consisting of alternating layers of two homogeneous materials subjected to large deformations. The theory is based on two-term expansions of the motion across the thicknesses of the undeformed layers. The kinematics and the balance laws are formulated, and the constitutive equations are worked out for elastic behavior of the constitutive materials. The governing equations are subsequently written out in detail for the case of a small amplitude disturbance superimposed on a large static deformation. The latter system of equations is used to investigate the propagation of small amplitude time-harmonic waves in a prestressed laminated composite.",

author = "Grot, {R. A.} and Achenbach, {J. D.}",

note = "Funding Information: t The work of one of the authors (J.D.A.) was sponsored by the Office of Naval Research under Contract ONR Nonr. 1228(34) with Northwestern University. The work of the other author (R.A.G.) was supported by the Advanced Research Project Agency of the Department of Defense through the Northwestern University Materials Research Center. t Now at Princeton University, Department of Aerospace and Mechanical Sciences.",

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AU - Grot, R. A.

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PY - 1970/5

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N2 - An approximate nonlinear theory is derived to describe the mechanical behavior of a laminated composite consisting of alternating layers of two homogeneous materials subjected to large deformations. The theory is based on two-term expansions of the motion across the thicknesses of the undeformed layers. The kinematics and the balance laws are formulated, and the constitutive equations are worked out for elastic behavior of the constitutive materials. The governing equations are subsequently written out in detail for the case of a small amplitude disturbance superimposed on a large static deformation. The latter system of equations is used to investigate the propagation of small amplitude time-harmonic waves in a prestressed laminated composite.

AB - An approximate nonlinear theory is derived to describe the mechanical behavior of a laminated composite consisting of alternating layers of two homogeneous materials subjected to large deformations. The theory is based on two-term expansions of the motion across the thicknesses of the undeformed layers. The kinematics and the balance laws are formulated, and the constitutive equations are worked out for elastic behavior of the constitutive materials. The governing equations are subsequently written out in detail for the case of a small amplitude disturbance superimposed on a large static deformation. The latter system of equations is used to investigate the propagation of small amplitude time-harmonic waves in a prestressed laminated composite.

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Large deformations of a laminated composite

Abstract

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