2004
DOI: 10.1002/cnm.725
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Curve linearization and discretization for meshing composite parametric surfaces

Abstract: SUMMARYIn the context of composite parametric surface meshing using a direct or an indirect (via the meshing of parametric domains) method, the discretization of interface curves joining patches plays a central part. In the case of an indirect method, the discretization of interface curves must be taken back to parametric spaces. This is usually done using root ÿnding techniques for generally non-linear parametric functions. This paper presents a new linearization technique to determine the above correspondenc… Show more

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Cited by 17 publications
(9 citation statements)
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“…Lastly, in consideration of feasibility and effectiveness, one of the efficient curve fitting methods, curve linearization method, was adopted to implement the fitting operation for quadratic curve fitting. Curve linearization is an important curve fitting method that transforms curve fitting into linear fitting through variable substitution [33]. Figure 3 presents the fitting curve of parameter k and driving speed.…”
Section: Model Framementioning
confidence: 99%
“…Lastly, in consideration of feasibility and effectiveness, one of the efficient curve fitting methods, curve linearization method, was adopted to implement the fitting operation for quadratic curve fitting. Curve linearization is an important curve fitting method that transforms curve fitting into linear fitting through variable substitution [33]. Figure 3 presents the fitting curve of parameter k and driving speed.…”
Section: Model Framementioning
confidence: 99%
“…To reduce errors because of curve linearisation, it is better to disperse the yield stresses irregularly [26]. This yields…”
Section: Stress–strain Response Modellingmentioning
confidence: 99%
“…The Prandtl densities γ j ( T i ) as well as fictive yield damage parameters p j in the range j = 1, …, n p are gained from the available PD curves. Fictive yield damage parameters, also known as the half‐widths of the play operator, 16 are dispersed regularly as shown in Refs [12, 22, 25] or better irregularly 27 to reduce too conservative damage estimates due to curve linearization between zero and the damage parameter corresponding to the maximum ultimate stress …”
Section: Continuous Damage Calculationmentioning
confidence: 99%