Sentence examples for deformed lengths from inspiring English sources

where d X i and d x i respectively refer to the undeformed and deformed lengths of an infinitesimal element.

The angular changes were estimated by using the deformed lengths of the two initially right triangles (having a common hypotenuse, e.g., between points 1 and 4) formed by the LVDTs.

Similarly, the relative elongations at ultimate loads δ RT of the RT-series specimens are calculated by means of the elongations, u RT, and deformed length within the gauge length of L 3, L RT, using Eq. (2): delta_{{rm {RT}}} = frac{{u_{{{{rm RT}}}} }}{{L_{ 3} }},;text{with};u_{{{{rm RT}}}} = L_{{text{RT}}} - L_{3} (2).

As a result, the relative elongations at ultimate loads δ IT of the IT-series splices are calculated by means of the elongations, u IT, and deformed length within the gauge length of L 3, L IT, using Eq. (1): Table 3 Details of specimens under incremental and repeated tensile loadings.

Analytic expressions are derived for the deformed bond lengths using the standard CB rule as well as modified versions of the standard CB rule.

The deformed bond lengths are used to formulate an enriched continuum hyperelastic strain energy density function based on interatomic potentials (the multi-body Tersoff Brenner [Tersoff, J., 1988. New empirical approach for the structure and energy of covalent systems. Phys. Rev. B 37, 6991 7000; Brenner, D.W., 1990.

A zone of plastically deformed material of length (z_{AB}^{text {max}}) is translated at constant force along the sheet in the z-direction.

The effects of fiber diameter, length, deformed shape, and content of steel fibers are investigated in order to provide fundamental understanding of the reinforcing mechanisms mobilized during fiber pull out and select proper reinforcing fibers.

If finite rotations are accounted for (third-order theory), shakedown is achieved solely by the lateral force, since the arc length of the deformed beam cannot exceed the length of the undeformed beam, Fig. 26.

Buckling of longitudinal reinforcement in reinforced concrete (RC) columns or walls is commonly seen with a length equal to the spacing between stirrups (local buckling), but experimental observations have shown that the length of buckling can span a larger length, deforming several stirrups within the buckling length (global buckling).

This is the first time that full tensors were measured in plastically deformed metals at this length scale.