Elastic Properties of Metals and Alloys, I. Iron, Nickel, and Iron-Nickel Alloys

Abstract

A comprehensive compilation is ~ven of elastic properties of iron-nickel alloys. When sufficient data exist, preferred values are recommended_ This compilation covers, besides pure iron and pure nickel, the entire binary composition range, both b.c_c. and f.c.c. phases. Elastic constants included are: Young's modulus, shear modulus, bulk modulus (reciprocal compressibility), Poisson's ratio, and singlecrystal elastic stiffnesses, both second-order and higher-order. Data are compiled for variation of ela~tic com;tant<;. with rompo!>.ition, tpmpprlltllre, prp!>.!>.nrp., magnetic neld. mechanical deformation.annealing, and crystallographic transitions. An overview is given f~om the vantage points of the electron theory ·of m.etals, elasticity theory, and crystallographic theory. Also included are discussions of isothermal and adiabatic elastic constants, interrelationships among engineering elastic constants, computation of the latter from single-crystal elastic stiffnesses, and similar topics. Where key data have not been measured, they were generated if possible from existing data using standard formulae. Other gaps, both theoretical and experimental, in the elastic properties of iron-nickel alloys are indicated. A few theoretical results are included where experimental data are nonexistent or scarce. A semantic scheme is proposed for distinguishing elastic constants of solids.

Determination of polycrystal diffraction elastic constants of Ti–2.5Cu by using in situ tensile loading and synchrotron radiation

“…This could result in relatively smaller value of the bulk Young's modulus compared to the microscopic ones obtained within a small gauge volume illuminated by X-ray beam through the tensile sample. This agrees with Koehler and DeWit classical theory [22,23] (Eq. 5) :…”

Twin nucleation in Fe-based bcc alloys—modeling and experiments

“…The potentials used in the present calculations yield physical properties [25,[28][29][30][31] (such as elastic constants, lattice parameters, cohesive energy, solid solution lattice parameters, etc), in reasonable agreement with the experimental data [32,33] or other empirical methods and DFT calculations [34,35]. Figure 3 illustrates GPFE for the Fe-50 at%Cr alloy where γ twin usf is defined as the unstable stacking fault energy and represents the energy barrier that the (a/6)⟨1 1 1⟩dislocation must overcome to create the first-layer stacking fault.…”

Investigating the thermally induced acoustoelastic effect in isotropic media with Lamb waves

“…19 Ledbetter and Reed elegantly state, "Many crystalline phenomena-thermal expansion, temperature and pressure derivatives of the second-order elastic constants,… are anharmonic effects related directly to the existence of thirdorder and higher order elastic constants." 20 The previous investigation by Dodson and Inman used thermoelastic theory with the assumption of thermally varying second order elastic constants to investigate the analytical sensitivity of Lamb waves with respect to temperature. 19 Garber and Granato have used lattice structures of cubic materials to show the temperature variation of material properties is related to the third and fourth order elastic constants.…”