Étude par équations intégrales d'une éprouvette C.T. 15

Boissenot, J.M.; Lachat, Jacob; Watson, J. O.

doi:10.1051/rphysap:0197400904061100

Cited by 18 publications

(2 citation statements)

References 4 publications

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“…An application of the program for plane strain to the computation of stress intensity factors for an ASTM compact tensile specimen is described by Boissenot, Lachat and Watson [11].…”

Section: Centre Technique Des Industries Mécaniquesmentioning

confidence: 99%

Boundary Elements from 1960 to the Present Day

Watson

2007

EJBE

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The development of boundary element methods as seen by one researcher in the field is described, from publication of the first results in 1963 to the present day. Details are given of the circumstances in which research was carried out. The objectives of the research are outlined, and the strategy according to which progress was made towards those objectives is explained. An assessment is made of what has actually been achieved, and topics for future research are proposed.

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“…An application of the program for plane strain to the computation of stress intensity factors for an ASTM compact tensile specimen is described by Boissenot, Lachat and Watson [11].…”

Section: Centre Technique Des Industries Mécaniquesmentioning

confidence: 99%

Boundary Elements from 1960 to the Present Day

Watson

2007

EJBE

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“…Soon it was recognized, however, that this model o ers a poor convergence in many problems. Then, linear and higher order polynomials were used to model both the geometry and the boundary variables with isoparametric elements [3]. This last approach leads to much better convergence, that is, more accurate results with less elements, at the cost of an increased complexity in the formulation and larger computing time for the evaluation of the required integrals.…”

Section: Introductionmentioning

confidence: 99%

Singular-ended spline interpolation for two-dimensional boundary element analysis

Barros

Mesquita

2000

Int. J. Numer. Meth. Engng.

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SUMMARYA method of interpolation of the boundary variables that uses spline functions associated with singular elements is presented. This method can be used in boundary element method analysis of 2-D problems that have points where the boundary variables present singular behaviour. Singular-ended splines based on cubic splines and Overhauser splines are developed. The former provides C 2 -continuity and the latter C 1 -continuity across element edges. The potentialities of the methodology are demonstrated analysing the dynamic response of a 2-D rigid footing interacting with a half-space. It is shown that, for a given number of elements at the soil-foundation interface, the singular-ended spline interpolation increases substantially the displacement convergence rate and delivers smoother traction distributions.

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Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics

Lachat

Watson

1976

Numerical Meth Engineering

635

162

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SUMMARYThe field equations of three-dimensional elastostatics are transformed to boundary integral equations. The elastic body is divided into subregions, and the surface and interfaces are represented by quadrilateral and triangular elements with quadratic variation of geometry and linear, quadratic Oi cubic variation of displacement and traction with respect to intrinsic co-ordinates. The integral equation is discretized for each subregion, and a system of banded form obtained. For the integration of kernel-shape function products, Gaussian quadrature formulae are chosen according to upper bounds for error in terfns of derivatives of the integrands.

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Étude par équations intégrales d'une éprouvette C.T. 15

Cited by 18 publications

References 4 publications

Boundary Elements from 1960 to the Present Day

Boundary Elements from 1960 to the Present Day

Singular-ended spline interpolation for two-dimensional boundary element analysis

Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics

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