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Derivations of Integral Equations of Elasticity

open access: yesJournal of Engineering Mechanics - ASCE, 1988
In this paper, we derive the integral equations of elasticity, which may be considered to be a very general formulation for solutions of (cracked and uncracked) elasticity problems. The formulation is general enough to be a starting point for an analytical study or for a numerical treatment.
Chen, Jeng-Tzong, Hong, Hong-Ki
exaly   +2 more sources
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Integrated magnetic and elastic force systems

American Journal of Orthodontics and Dentofacial Orthopedics, 2002
Magnetic force increases as the distance (d) of the force- generating elements (F approximately 1/d(2)) decreases, whereas elastic force decreases as the distance decreases (F approximately kd). These opposing characteristics suggest that combining both force systems will establish an integrated system with a long-range working ability.
Christoph, Bourauel   +2 more
openaire   +2 more sources

Some Applications of Integrated Elasticity

Journal of Applied Mechanics, 2005
This paper examines the effects of relaxing the assumption of classical linear elasticity that the loads act in their entirety on the undeformed shape. Instead, loads here are applied incrementally as deformation proceeds, and resulting fields are integrated. A formal statement of the attendant integrated elasticity theory is provided.
A. T. Assaad, G. B. Sinclair
openaire   +1 more source

An integral equation of elasticity

Mathematical Methods in the Applied Sciences, 1985
AbstractIn this work a certain mixed problem in R for the Lamé equations in the theory of elasticity is reduced to the integral equationmagnified imageAn explicit formula for the solutions is given for either Ω = {x:x2 > 0} or Ω = {x:∥x∥<r}. The question of smoothness of the solutions is also discused.
H. Kolakowski, A. Piskorek
openaire   +1 more source

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