Low velocity impact of transversely isotropic beams and plates

W. P. Schonberg; L. M. Keer; T. K. Woo

doi:10.1016/0020-7683(87)90085-0

Low velocity impact of transversely isotropic beams and plates

W. P. Schonberg^*, L. M. Keer, T. K. Woo

^*Corresponding author for this work

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

7 Scopus citations

Abstract

The dynamic structural contact problems of a rigid, smooth cylindrical striker impacting an elastically supported transversely isotropic beam and plate are solved. The solutions are obtained as a superposition of a static layer solution derived through the use of integral transforms with an elementary beam or plate theory solution that incorporates the dynamic effects. The problems are formulated in such a manner as to require the solution of a Volterra integral equation for each time step. Numerical results are presented for fixed and simply supported beams and plates. Three materials are used to study the effects of anisotropy: magnesium, which is nearly isotropic; cadmium, which is moderately anisotropic; and graphite/epoxy, which is highly anisotropic.

Original language	English (US)
Pages (from-to)	871-896
Number of pages	26
Journal	International Journal of Solids and Structures
Volume	23
Issue number	7
DOIs	https://doi.org/10.1016/0020-7683(87)90085-0
State	Published - 1987
Externally published	Yes

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(87)90085-0

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title = "Low velocity impact of transversely isotropic beams and plates",

abstract = "The dynamic structural contact problems of a rigid, smooth cylindrical striker impacting an elastically supported transversely isotropic beam and plate are solved. The solutions are obtained as a superposition of a static layer solution derived through the use of integral transforms with an elementary beam or plate theory solution that incorporates the dynamic effects. The problems are formulated in such a manner as to require the solution of a Volterra integral equation for each time step. Numerical results are presented for fixed and simply supported beams and plates. Three materials are used to study the effects of anisotropy: magnesium, which is nearly isotropic; cadmium, which is moderately anisotropic; and graphite/epoxy, which is highly anisotropic.",

author = "Schonberg, {W. P.} and Keer, {L. M.} and Woo, {T. K.}",

note = "Funding Information: Acklloll'led,qell/l'lIt-The authors arc grateful for support from the Air Force Ollicc of Scientific Research under Grant AFOSR·82-0330 .•",

year = "1987",

doi = "10.1016/0020-7683(87)90085-0",

language = "English (US)",

volume = "23",

pages = "871--896",

journal = "International Journal of Solids and Structures",

issn = "0020-7683",

publisher = "Elsevier Limited",

number = "7",

}

TY - JOUR

T1 - Low velocity impact of transversely isotropic beams and plates

AU - Schonberg, W. P.

AU - Keer, L. M.

AU - Woo, T. K.

N1 - Funding Information: Acklloll'led,qell/l'lIt-The authors arc grateful for support from the Air Force Ollicc of Scientific Research under Grant AFOSR·82-0330 .•

PY - 1987

Y1 - 1987

N2 - The dynamic structural contact problems of a rigid, smooth cylindrical striker impacting an elastically supported transversely isotropic beam and plate are solved. The solutions are obtained as a superposition of a static layer solution derived through the use of integral transforms with an elementary beam or plate theory solution that incorporates the dynamic effects. The problems are formulated in such a manner as to require the solution of a Volterra integral equation for each time step. Numerical results are presented for fixed and simply supported beams and plates. Three materials are used to study the effects of anisotropy: magnesium, which is nearly isotropic; cadmium, which is moderately anisotropic; and graphite/epoxy, which is highly anisotropic.

AB - The dynamic structural contact problems of a rigid, smooth cylindrical striker impacting an elastically supported transversely isotropic beam and plate are solved. The solutions are obtained as a superposition of a static layer solution derived through the use of integral transforms with an elementary beam or plate theory solution that incorporates the dynamic effects. The problems are formulated in such a manner as to require the solution of a Volterra integral equation for each time step. Numerical results are presented for fixed and simply supported beams and plates. Three materials are used to study the effects of anisotropy: magnesium, which is nearly isotropic; cadmium, which is moderately anisotropic; and graphite/epoxy, which is highly anisotropic.

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DO - 10.1016/0020-7683(87)90085-0

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AN - SCOPUS:0023601375

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VL - 23

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EP - 896

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

IS - 7

ER -

Low velocity impact of transversely isotropic beams and plates

Abstract

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