compatibility conditions

compatibility conditions

[kəm‚pad·ə′bil·əd·ē kən‚dish·ənz]
(mechanics)
A set of six differential relations between the strain components of an elastic solid which must be satisfied in order for these components to correspond to a continuous and single-valued displacement of the solid.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
The discrete Painleveequations are nonlinear difference equations that arise as compatibility conditions of linear systems, says Joshi, then warns that the deceptive simplicity of this statement hides deep layers of mathematical properties, which she outlines here.
Discrete Painleve Equations
The inclusion of smart materials layers will modify material properties between neighboring segments, producing discontinuities and fulfilling compatibility conditions for the continuity of the displacement and rotation of the beam and for the equilibrium of bending moment and shear at the discontinuity points.
Nanobeams and AFM Subject to Piezoelectric and Surface Scale Effects
The basic concept in the study originated from the extension of constraints of the compatibility conditions at free interfaces between structures and substructures.
Reanalysis of Modified Structures by Adding or Removing Substructures
One way in which these auxiliary equations arise is through compatibility conditions. Moreover, an interesting result is presented by showing that there is an important link between a nonhomogeneous Schrodinger equation and a combination of surface variables which are relevant to the more physical case of space-like isothermic surfaces.
A Formulation of L-Isothermic Surfaces in Three-Dimensional Minkowski Space
It turns out that in fact additional compatibility conditions are necessary.
Construction of exact travelling waves for the Benjamin-Bona-Mahony equation on networks
Newly derived compatibility conditions for residual deformations [[theta].sub.r] improve the quality of the mathematical model of the optimization problem and avoid a direct use of the abovementioned influence matrices.
An improved method for an optimal shakedown design of circular plates/Pagerinta prisitaikanciu apvaliu ploksciu optimalaus projektavimo metodika
Next, the sixth-order governing differential compatibility equations, as well as the associated end-boundary compatibility conditions, are derived based on the virtual force principle.
Exact stiffness for beams on Kerr-type foundation: the virtual force approach
The bar and elastic substrate compatibility conditions are both enforced in the strong sense.
Modeling of axially loaded nanowires embedded in elastic substrate media with inclusion of nonlocal and surface effects
As emphasized in the theoretical section, the connection between a single variant of martensite and the parent austenitic phase is provided by a twinned martensitic structure, which is able to satisfy the compatibility conditions both with the austenite (over the habit plane) and with the single variant.
Propagation of an austenite-martensite interface in a thermal gradient/austeniit-martensiitpiirpinna levimine soojusgradiendi toimel
satisfy the compatibility conditions. These conditions apply to the equations (2.17) are (3ii).
Partial differential equations with higher order differential constraints
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