HYBRID FINITE ELEMENT PROCEDURES FOR ANALYZING THROUGH FLAWS IN PLATES IN BENDING.

H. C. Rhee; S. N. Atluri; K. Moriya; T. H.H. Pian

HYBRID FINITE ELEMENT PROCEDURES FOR ANALYZING THROUGH FLAWS IN PLATES IN BENDING.

H. C. Rhee, S. N. Atluri, K. Moriya, T. H.H. Pian

Mechanical Engineering

Research output: Contribution to conference › Paper › peer-review

Abstract

The first case consists of a sixth-order Reissner plate theory which includes the effects of transverse shear deformation. The loading on the plate is general such that all the three crack modes are present. Analytical results for asymptotically singular bending moments, twisting moments, and shear force near the crack-tip are built-in to the assumed stresses in elements near the crack-tip. The present finite element procedure leads to matrix equations with the nodal displacements of the structure, as well as the three stress intensity factors for each mode of crack-tip behavior, as unknowns to be solved for directly. The second case is concerned with thin plates with through-the-thickness cracks subjected to out-of-plane bending. Kirchhoff hypothesis can be employed here and only bending and twisting modes exist at the crack tip. The special elements are polygonal-shaped with an imbedded crack, and in the matrix equations only the nodal displacements are unknowns.

Original language	English
State	Published - 1977
Event	Unknown conference - San Francisco, CA, USA Duration: Aug 15 1977 → Aug 19 1977

Conference

Conference	Unknown conference
City	San Francisco, CA, USA
Period	08/15/77 → 08/19/77

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@conference{8c5ffdcac66248c18cb7b37f94fb27d0,

title = "HYBRID FINITE ELEMENT PROCEDURES FOR ANALYZING THROUGH FLAWS IN PLATES IN BENDING.",

abstract = "The first case consists of a sixth-order Reissner plate theory which includes the effects of transverse shear deformation. The loading on the plate is general such that all the three crack modes are present. Analytical results for asymptotically singular bending moments, twisting moments, and shear force near the crack-tip are built-in to the assumed stresses in elements near the crack-tip. The present finite element procedure leads to matrix equations with the nodal displacements of the structure, as well as the three stress intensity factors for each mode of crack-tip behavior, as unknowns to be solved for directly. The second case is concerned with thin plates with through-the-thickness cracks subjected to out-of-plane bending. Kirchhoff hypothesis can be employed here and only bending and twisting modes exist at the crack tip. The special elements are polygonal-shaped with an imbedded crack, and in the matrix equations only the nodal displacements are unknowns.",

author = "Rhee, {H. C.} and Atluri, {S. N.} and K. Moriya and Pian, {T. H.H.}",

year = "1977",

language = "English",

}

TY - CONF

T1 - HYBRID FINITE ELEMENT PROCEDURES FOR ANALYZING THROUGH FLAWS IN PLATES IN BENDING.

AU - Rhee, H. C.

AU - Atluri, S. N.

AU - Moriya, K.

AU - Pian, T. H.H.

PY - 1977

Y1 - 1977

N2 - The first case consists of a sixth-order Reissner plate theory which includes the effects of transverse shear deformation. The loading on the plate is general such that all the three crack modes are present. Analytical results for asymptotically singular bending moments, twisting moments, and shear force near the crack-tip are built-in to the assumed stresses in elements near the crack-tip. The present finite element procedure leads to matrix equations with the nodal displacements of the structure, as well as the three stress intensity factors for each mode of crack-tip behavior, as unknowns to be solved for directly. The second case is concerned with thin plates with through-the-thickness cracks subjected to out-of-plane bending. Kirchhoff hypothesis can be employed here and only bending and twisting modes exist at the crack tip. The special elements are polygonal-shaped with an imbedded crack, and in the matrix equations only the nodal displacements are unknowns.

AB - The first case consists of a sixth-order Reissner plate theory which includes the effects of transverse shear deformation. The loading on the plate is general such that all the three crack modes are present. Analytical results for asymptotically singular bending moments, twisting moments, and shear force near the crack-tip are built-in to the assumed stresses in elements near the crack-tip. The present finite element procedure leads to matrix equations with the nodal displacements of the structure, as well as the three stress intensity factors for each mode of crack-tip behavior, as unknowns to be solved for directly. The second case is concerned with thin plates with through-the-thickness cracks subjected to out-of-plane bending. Kirchhoff hypothesis can be employed here and only bending and twisting modes exist at the crack tip. The special elements are polygonal-shaped with an imbedded crack, and in the matrix equations only the nodal displacements are unknowns.

UR - http://www.scopus.com/inward/record.url?scp=85095912240&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:85095912240

Y2 - 15 August 1977 through 19 August 1977

ER -