Variation-based cracked laminate analysis revisited and fundamentally extended

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Variation-based cracked laminate analysis revisited and fundamentally extended. / Li, Shuguang; Hafeez, Farrukh.

In: International Journal of Solids and Structures, Vol. 46, No. 20, 01.10.2009, p. 3505-3515.

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@article{ff5005b2ce354d3483f7ff599cc97f88,
title = "Variation-based cracked laminate analysis revisited and fundamentally extended",
abstract = "The analyses of cracked laminates based on a variational principle and related approaches are appraised in this paper. The limitations of the existing methodology on the analyses of more general laminate configurations have been identified. It has been revealed that the limiting factor is the lack of boundary conditions for uncracked laminae. Natural boundary conditions have then been derived from the variational principle to meet the need. Such boundary conditions are mathematically sound but cannot be simply interpreted from the physical construction of the problem intuitively. A well posed boundary value problem has thus been formulated for laminates containing however many cracked and uncracked laminae. Appropriate mathematical tools can then be employed to solve the boundary value problem. The capability of analysing cracked laminates has been enhanced significantly, as a result.",
keywords = "Cracked laminate analysis, Natural boundary conditions, Periodic conditions, Total complementary potential energy, Translational symmetry, Variational approach",
author = "Shuguang Li and Farrukh Hafeez",
year = "2009",
month = oct,
day = "1",
doi = "10.1016/j.ijsolstr.2009.03.031",
language = "English",
volume = "46",
pages = "3505--3515",
journal = "International Journal of Solids and Structures",
issn = "0020-7683",
publisher = "Elsevier",
number = "20",

}

RIS

TY - JOUR

T1 - Variation-based cracked laminate analysis revisited and fundamentally extended

AU - Li, Shuguang

AU - Hafeez, Farrukh

PY - 2009/10/1

Y1 - 2009/10/1

N2 - The analyses of cracked laminates based on a variational principle and related approaches are appraised in this paper. The limitations of the existing methodology on the analyses of more general laminate configurations have been identified. It has been revealed that the limiting factor is the lack of boundary conditions for uncracked laminae. Natural boundary conditions have then been derived from the variational principle to meet the need. Such boundary conditions are mathematically sound but cannot be simply interpreted from the physical construction of the problem intuitively. A well posed boundary value problem has thus been formulated for laminates containing however many cracked and uncracked laminae. Appropriate mathematical tools can then be employed to solve the boundary value problem. The capability of analysing cracked laminates has been enhanced significantly, as a result.

AB - The analyses of cracked laminates based on a variational principle and related approaches are appraised in this paper. The limitations of the existing methodology on the analyses of more general laminate configurations have been identified. It has been revealed that the limiting factor is the lack of boundary conditions for uncracked laminae. Natural boundary conditions have then been derived from the variational principle to meet the need. Such boundary conditions are mathematically sound but cannot be simply interpreted from the physical construction of the problem intuitively. A well posed boundary value problem has thus been formulated for laminates containing however many cracked and uncracked laminae. Appropriate mathematical tools can then be employed to solve the boundary value problem. The capability of analysing cracked laminates has been enhanced significantly, as a result.

KW - Cracked laminate analysis

KW - Natural boundary conditions

KW - Periodic conditions

KW - Total complementary potential energy

KW - Translational symmetry

KW - Variational approach

UR - http://www.scopus.com/inward/record.url?scp=68149106005&partnerID=8YFLogxK

U2 - 10.1016/j.ijsolstr.2009.03.031

DO - 10.1016/j.ijsolstr.2009.03.031

M3 - Article

AN - SCOPUS:68149106005

VL - 46

SP - 3505

EP - 3515

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

SN - 0020-7683

IS - 20

ER -