On the emergence and propagation of a phase boundary in an elastic bar with a suddenly applied end load

DOI10.1007/BF00041064zbMath0575.73071MaRDI QIDQ1064152

Thomas J. Pence

Publication date: 1986

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

quantitiesinitial-boundary value problemelastic barstrain discontinuitytrajectoryone dimensioncharacteristicsphase boundarytwo phasesdynamical analysisasymptotic description of the emergence of the phase boundaryat the endboundary eventually becomes the leading disturbancesConditionsend is subjected to a monotonically increasingestimates of dynamical fieldfar single phasehard devicelarge- timesload is sufficiently highload-controlled dynamical testing devicepair of differential-delay equationsphase boundary velocity approaches a constantpropagates into the interiorsemi-infinite barshort timesstress-strain relation is not monotonic

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Boundary value problems for functional-differential equations (34K10)

Related Items (17)

Phase transitions in one-dimensional nonlinear viscoelasticity: Admissibility and stability ⋮ On stretching of a bar capable of undergoing phase transitions ⋮ Pulse attenuation by kinetically active phase boundary scattering during displacive phase transformations. ⋮ On the mechanical dissipation of solutions to the Riemann problem for impact involving a two-phase elastic material ⋮ On the encounter of an acoustic shear pulse with a phase boundary in an elastic material: Energy and dissipation ⋮ Dynamic growth of martensitic plates in an elastic material ⋮ Wave propagation in shape memory alloy rods under impulsive loads ⋮ A strain-softening bar with rehardening revisited ⋮ A strain-softening bar revisited ⋮ Kinetic relations and the propagation of phase boundaries in solids ⋮ Impact-induced phase transformation in shape memory alloys ⋮ Temperature-induced phase transformation in a shape memory alloy: Phase diagram based kinetics approach ⋮ Stability of a two-phase process in an elastic solid ⋮ On the modeling of thermo-mechanical phase transformations in solids ⋮ On the dissipation due to wave ringing in nonelliptic elastic materials ⋮ On the encounter of an acoustic shear pulse with a phase boundary in an elastic material: Reflection and transmission behavior ⋮ Transition to detonation in dynamic phase changes

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