one-dimensional strain

one-dimensional strain

[′wən di‚men·chən·əl ′strān]
(mathematics)
A transformation that elongates or compresses a configuration in a given direction, given by x ′ = kx, y ′ = y, z ′ = z, where k is a constant, when the direction is that of the x axis.
References in periodicals archive ?
According to elastic mechanics theories, if one-dimensional strain [epsilon] = [DELTA]L/L is extended to three-dimensional space, strain tensor [epsilon] can be obtained.
Here t is time, x is space variable, the particle velocity v = [u.sub.t] is the time derivative of the displacement u, the one-dimensional strain [epsilon] = [u.sub.x] is the space derivative of the displacement, [sigma] is the Cauchy stress and [rho] is the material density.
Applying to the design scheme (Figure 7) calculation formula for a one-dimensional strain state is as follows: