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For crack growth along an interface between two adjacent elastic plastic materials in a layered solid, the resistance curve behaviour is analysed by approximating the behaviour in terms of a bi-material interface under small scale yielding conditions.
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The second type of numerical method approximates the equation of interest, usually by approximating the derivatives or integrals in the equation.
In the texture-mapping procedure, we begin by approximating the target surface with an approximating cylinder.
This was analysed by dividing the duration into approximate quartiles: 1 30, 31 90, 91 180, and 181 365 days before diagnosis.
The elastic deformation is analysed by the finite element method and approximate analytical expressions are also deduced for it.
The substance was analysed by the Maritime and Coastguard Agency.
It is analysed by the National Institute for Cardiovascular Outcomes Research NICORR) at UCL.
We estimated the distribution of cases or person years in studies that did not report these but reported the total number of cases or person years if the results were analysed by quantiles (and could be approximated)—for example, the total number of person years was divided by 5 when data were analysed by quintiles to derive the number of person years in each fifth.
Samples were analysed by SDS/PAGE and Coomassie Brilliant Blue staining for approximate size determination.
Identification of approximate mass of the cytotoxic protein fraction F3 was analysed by SDS-PAGE.
The data were analysed by V.L.C.
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