ISSN:
0029-5981
Keywords:
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
The invariant imbedding formulae for evaluating singular integrals on flat domains are used to analyse the singular integrals which arise in the Boundary Element Method.Although all orders of singularity are considered, the primary objective of the paper is the evaluation of Cauchy principal value integrals (CPV). Conditions for boundedness of the CPV aré derived, and evaluation techniques are presented for situations in which the singular point lies on, or is in close proximity to, an element boundary. Specific cases analysed include straight and curved element boundaries, and corners. Other numerical aspects of the formulae are also discussed.By way of example, the analysis techniques are applied to the volume integrals which arise in continuum, inelastic problems.
Additional Material:
11 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/nme.1620350309
