Phase boundary motion in an elastic bar of finite length
Bibliographic record
Abstract
No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.
Source: Not provided · Quality: missing
Research context
OpenAlex topics: Elasticity and Wave Propagation · Elasticity and Material Modeling · Contact Mechanics and Variational Inequalities
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (25)
Show source-provided references
1. R.Abeyaratne, Discontinuous deformation gradients in plane elastostatics of incompressible materials.J. Elasticity 10 (1980) 255–293.10.1007/BF00127451 ↗
2. R.Abeyaratne and J.K.Knowles, On the dissipative response due to discontinuous strains in bar of unstable elastic material.Int. J. Solids and Structures 24 (1988) 1021–1044.10.1016/0020-7683(88)90105-9 ↗
3. R.Abeyaratne and J.K.Knowles, On the driving traction acting on a surface of a discontinuity in a continuum.J. Mechs. Phys. Solids 38 (1990) 345–360.10.1016/0022-5096(90)90003-M ↗
4. R.Abeyaratne and J.K.Knowles, Kinetic relations and the propagation of phase boundaries in solids.Arch. Rational Mech. Anal. 114 (1990) 119–154.10.1007/BF00375400 ↗
5. R.Abeyaratne and J.K.Knowles, Implications of viscosity and strain-gradient effects for the kinetics of propagating phase boundaries in solids.SIAM J. Appl. Math. 51 (1991) 1205–1221.10.1137/0151061 ↗
6. R.Abeyaratne and J.K.Knowles, A continuum model of a thermoelastic solid capable of undergoing phase transitions.J. Mechs. Phys. Solids 41 (1993) 541–571.10.1016/0022-5096(93)90048-K ↗
7. R.Abeyaratne and J.K.Knowles, Dynamics of propagating phase boundaries: thermoelastic solids with heat conduction.Arch. Rational Mech. Anal. 126 (1994) 203–230.10.1007/BF00375642 ↗
8. R.Abeyaratne and J.K.Knowles, Dynamics of propagating phase boundaries: Adiabatic theory for thermoelastic solids.Physica D 79 (1994) 269–288.10.1016/S0167-2789(05)80008-9 ↗
9. R.Abeyaratne, S-JKim and J.K.Knowles, A one-dimensional continuum model for shape memory alloys.Int. J. Solids and Structure 31 (1994) 2229–2249.10.1016/0020-7683(94)90208-9 ↗
10. J.Ball and R.D.James, Fine phase mixtures as minimizes of energy.Arch. Rational Mech. Anal. 100 (1986) 13–52.10.1007/BF00281246 ↗
11. K.Bhattacharya, Wedge-like microstructures in martensite.Acta. Metall. 39 (1991) 2431–2444.10.1016/0956-7151(91)90023-T ↗
12. C.M.Dafermos, The entropy rate admissibility criterion for solutions of hyperbolic conservation laws.J. Diff. Eqs. 14 (1973) 202–212.10.1016/0022-0396(73)90043-0 ↗
13. J.L.Ericksen, Equilibrium of bars.J. Elasticity 5 (1975) 191–201.10.1007/BF00126984 ↗
14. R.D.James, The propagation of phase boundaries in elastic bars.Arch. Rational Mech. Anal. 77 (1980) 143–176.10.1007/BF00250621 ↗
15. Q.Jiang, On the modeling of thermoelastic phase transformation in solids.J. Elasticity 32 (1993) 61–91.10.1007/BF00042249 ↗
16. Q.Jiang, Macroscopic behavior of a bar undergoing the paraelectric—ferroelectric phase transformations.J. Mechs. Phys. Solids 41 (1993) 1599–1635.10.1016/0022-5096(93)90016-9 ↗
17. J.Lin and T.J.Pence, On the dissipation due to wave ringing in non-elliptic elastic materials.J. Nonlinear Sci. 3 (1993) 269–305.10.1007/BF02429867 ↗
18. J. Lin and T.J. Pence, ‘Kinetically driven elatic phase boundary motion activated by concurrent dynamic pulse’. ARO report 931-1, 10th Army Conference on Applied Mathematics and Computing (1993).
19. T.J.Pence, On the encounter of an acoustic shear pulse with a phase boundary in an elastic material: reflection and transmission behavior.J. Elasticity 25 (1991) 31–74.10.1007/BF00041701 ↗
20. P.Rosakis, Ellipticity and deformations with discontinuous gradients.Arch. Rational Mech. Anal. 109 (1990) 1–37.10.1007/BF00377977 ↗
21. P.Rybka, Dynamical modeling of phase transitions by means of viscoelasticity in many dimensions.Proc. Roy. Soc. Edinburgh 121A (1992) 101–139.10.1017/S0308210500014177 ↗
22. P.J.Swart and P.Holmes, Energy minimization and the formation of microstructure in dynamic antiplane shear.Arch. Rational Mech. Anal. 121 (1992) 37–85.10.1007/BF00375439 ↗
23. X. Zhong, Ph.D. thesis, California Institute of Technology (1995).
24. X.Zhong, Dynamical behavior of the interface between two solid phases in an elastic bar.J. Elasticity 41 (1995) 39–72.10.1007/BF00040762 ↗
25. X. Zhong, T.Y. Hou and P.L. LeFloch, Computational methods for propagating phase boundaries.J. Comp. Phys. (in press).10.1006/jcph.1996.0053 ↗