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• W2018216992 abstract "The use of the classical Sturm theorem (based on Sturm's sequences) in elementary algorithmic algebra for the determination of the number of distinct real zeros of a polynomial in a real finite or infinite interval, is suggested for making decisions in elementary elasticity problems, including polynomial equations and inequalities. In these cases, the decision really depends on whether a polynomial equation has a real zero or not in a real interval. The use of this method is generalized from elementary problems in computational/algebraic geometry to applied mechanics. The approach is illustrated in four elasticity problems: an elementary straight beam problem above an obstacle (to decide whether the beam comes into contact with the obstacle or not), a straight crack problem under a known loading distribution (to decide whether the crack edges come into contact or not), a problem concerning a stress component in a finite circular elastic medium (to decide whether this component reaches a critical value or not) and finally, a problem concerning the classical caustic about a crack tip in fracture mechanics (to decide whether the caustic is surrounded by the circumference of a concrete circle or not). Additional applications and possibilities are also suggested in brief." @default.
• W2018216992 created "2016-06-24" @default.
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• W2018216992 date "1996-01-01" @default.
• W2018216992 modified "2023-09-23" @default.
• W2018216992 title "Deciding in elasticity problems by using Sturm's theorem" @default.
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• W2018216992 doi "https://doi.org/10.1016/0045-7949(95)00124-y" @default.
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