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Linear models of dissipation in anelastic solids

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Anelasticity of metals
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Stress waves in solids
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The propagation of dynamic stresses in visco-elastic rods
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On the propagation of transient pulses in linearly viscoelastic media
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Elasticity and Anelasticity of Metals.
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Dispersive body waves
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Physical mechanisms of seismic‐wave attenuation
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On Creep and Relaxation
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Wave Propagation and Group Velocity
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Mathematical Structure of the Theories of Viscoelasticity
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A note on stress pulses in visco-elastic rods
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Non-homogeneous stresses in visco-elastic media
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Methods of representing the properties of viscoelastic materials
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A generalization of Alfrey’s theorem for visco-elastic media
inferredcites →https://doi.org/10.1103/revmodphys.28.393openalex-snapshot
Linear-System Integral Transform Relations
inferredcites →https://doi.org/10.1111/j.1365-246x.1967.tb02303.xopenalex-snapshot
Linear Models of Dissipation whose Q is almost Frequency Independent--II
inferredcites →https://doi.org/10.1111/j.1365-2478.1964.tb01891.xopenalex-snapshot
VISCOELASTIC PROPERTIES OF THE STANDARD LINEAR SOLID*
inferredcites →https://doi.org/10.1121/1.1908417openalex-snapshot
Attenuation and Dispersion of Elastic Waves in a Cylindrical Bar

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Introduction
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The Two-Parametric Mittag-Leffler Function
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Mittag-Leffler Functions with Three Parameters
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Multi-index Mittag-Leffler Functions
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Thermal characteristics of a multilayered annular disk with thermosensitive features using a fractional-order heat conduction model
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Effect of fractional-order derivative on magneto-thermoelasticity for an infinitely long solid bi-layered conducting cylinder subjected to laser pulse
inferred← citeshttps://doi.org/10.1007/s00707-026-04654-0openalex-snapshot
A novel magneto-thermodiffusive interaction with spherical cavity with unified kernel modeling and nonlocal effects
inferred← citeshttps://doi.org/10.1007/s10114-010-7644-3openalex-snapshot
The reduction square root and perturbation for a class of strongly continuous operator families
inferred← citeshttps://doi.org/10.1007/s10237-005-0011-0openalex-snapshot
Fractional Calculus in Biomechanics: A 3D Viscoelastic Model Using Regularized Fractional Derivative Kernels with Application to the Human Calcaneal Fat Pad
inferred← citeshttps://doi.org/10.1007/s10338-026-00820-yopenalex-snapshot
Harnessing Acousto-viscoelastic Surface Waves for Broadband Dynamic Mechanical Analysis
inferred← citeshttps://doi.org/10.1007/s10409-015-0408-7openalex-snapshot
An inverse problem to estimate an unknown order of a Riemann–Liouville fractional derivative for a fractional Stokes’ first problem for a heated generalized second grade fluid
inferred← citeshttps://doi.org/10.1007/s10483-014-1771-6openalex-snapshot
Exact solutions of multi-term fractional diffusion-wave equations with Robin type boundary conditions
inferred← citeshttps://doi.org/10.1007/s10665-015-9818-6openalex-snapshot
Phenomenological isotropic visco-hyperelasticity: a differential model based on fractional derivatives
inferred← citeshttps://doi.org/10.1007/s10765-015-1873-8openalex-snapshot
On Thermo-viscoelasticity with Variable Thermal Conductivity and Fractional-Order Heat Transfer
inferred← citeshttps://doi.org/10.1007/s10909-022-02781-1openalex-snapshot
Photo-Elasto-Thermodiffusion Waves of Fractional Heat Order Excited with Laser Short-Pulse Impact for Semiconductor Medium
inferred← citeshttps://doi.org/10.1007/s10928-010-9159-zopenalex-snapshot
Fractional dynamics pharmacokinetics–pharmacodynamic models
inferred← citeshttps://doi.org/10.1007/s10957-012-0203-6openalex-snapshot
The DuBois–Reymond Fundamental Lemma of the Fractional Calculus of Variations and an Euler–Lagrange Equation Involving Only Derivatives of Caputo
inferred← citeshttps://doi.org/10.1007/s10958-006-0006-0openalex-snapshot
Discrete and Continuous Random Walk Models for Space-Time Fractional Diffusion
inferred← citeshttps://doi.org/10.1007/s10999-025-09826-9openalex-snapshot
Memory-dependent and size-dependent effects on nonlinear electro-magneto-thermo-viscoelastic vibration analysis of a polymer spherical nanoshell with fractional order strain
inferred← citeshttps://doi.org/10.1007/s11012-012-9597-3openalex-snapshot
The effect of fractional parameter on a perfect conducting elastic half-space in generalized magneto-thermoelasticity
inferred← citeshttps://doi.org/10.1007/s11012-015-0152-xopenalex-snapshot
Fractional order thermoelastic interactions in an infinite porous material due to distributed time-dependent heat sources
inferred← citeshttps://doi.org/10.1007/s11012-016-0494-zopenalex-snapshot
Stability analysis of a fractional viscoelastic plate strip in supersonic flow under axial loading
inferred← citeshttps://doi.org/10.1007/s11012-019-00950-3openalex-snapshot
Stability analysis of pipes conveying fluid with fractional viscoelastic model
inferred← citeshttps://doi.org/10.1007/s11012-019-01068-2openalex-snapshot
Primary and secondary resonances in pipes conveying fluid with the fractional viscoelastic model
inferred← citeshttps://doi.org/10.1007/s11043-006-9013-2openalex-snapshot
Hysteresis and precondition of viscoelastic solid models
inferred← citeshttps://doi.org/10.1007/s11043-010-9126-5openalex-snapshot
Computation of the relaxation and creep functions of elastomers from harmonic shear modulus
inferred← citeshttps://doi.org/10.1007/s11043-016-9290-3openalex-snapshot
Complex order fractional derivatives in viscoelasticity
inferred← citeshttps://doi.org/10.1007/s11043-016-9310-3openalex-snapshot
Fitting stress relaxation experiments with fractional Zener model to predict high frequency moduli of polymeric acoustic foams
inferred← citeshttps://doi.org/10.1007/s11043-016-9314-zopenalex-snapshot
Time domain analysis of the weighted distributed order rheological model
inferred← citeshttps://doi.org/10.1007/s11043-018-9381-4openalex-snapshot
A generalization of the Becker model in linear viscoelasticity: creep, relaxation and internal friction
inferred← citeshttps://doi.org/10.1007/s11043-019-09415-2openalex-snapshot
Fractional order theory of thermo-viscoelasticity and application
inferred← citeshttps://doi.org/10.1007/s11043-020-09465-xopenalex-snapshot
Circular arc rules of complex plane plot for model parameters determination of viscoelastic material
inferred← citeshttps://doi.org/10.1007/s11043-021-09518-9openalex-snapshot
A modified fractional order thermo-viscoelastic theory with fractional order strain and its application in a thermo-viscoelastic problem containing a spherical cavity
inferred← citeshttps://doi.org/10.1007/s11043-022-09560-1openalex-snapshot
A creep constitutive model based on Atangana–Baleanu fractional derivative
inferred← citeshttps://doi.org/10.1007/s11043-023-09659-zopenalex-snapshot
Modeling the magneto-thermoelastic diffusion in four-phase-lags memory dependent heat transfer
inferred← citeshttps://doi.org/10.1007/s11071-004-3749-5openalex-snapshot
Discrete and Continuous Random Walk Models for Space-Time Fractional Diffusion
inferred← citeshttps://doi.org/10.1007/s11071-016-2727-zopenalex-snapshot
Fractional Noether’s theorem with classical and Caputo derivatives: constants of motion for non-conservative systems
inferred← citeshttps://doi.org/10.1007/s11082-022-04247-wopenalex-snapshot
Laser short-pulse effect on magneto-photo-elasto-thermodiffusion waves of fractional heat equation for non-local excited semiconductor
inferred← citeshttps://doi.org/10.1007/s11253-013-0711-zopenalex-snapshot
Space–time fractional Cauchy problem in spaces of generalized functions
inferred← citeshttps://doi.org/10.1007/s11565-026-00729-xopenalex-snapshot
Memory-induced nonlinear dynamics in a fractional human–mosquito malaria model with data-driven insights
inferred← citeshttps://doi.org/10.1007/s11587-019-00476-6openalex-snapshot
On the evolution of fractional diffusive waves
inferred← citeshttps://doi.org/10.1007/s11600-024-01384-6openalex-snapshot
The waveform comparison of three fractional viscous acoustic wave equations
inferred← citeshttps://doi.org/10.1007/s11766-024-4148-yopenalex-snapshot
A novel fractional case study of nonlinear dynamics via analytical approach
inferred← citeshttps://doi.org/10.1007/s11770-020-0833-7openalex-snapshot
Time-reverse location of microseismic sources in viscoelastic orthotropic anisotropic medium based on attenuation compensation
inferred← citeshttps://doi.org/10.1007/s11771-015-2677-5openalex-snapshot
Generalized thermoelastic interaction in functional graded material with fractional order three-phase lag heat transfer
inferred← citeshttps://doi.org/10.1007/s12044-015-0243-6openalex-snapshot
Certain fractional integral operators and the generalized multi-index Mittag-Leffler functions
inferred← citeshttps://doi.org/10.1007/s12210-025-01356-yopenalex-snapshot
Fractional and nonlocal modeling of photoacoustic plane waves in multi-temperature semiconductor media
inferred← citeshttps://doi.org/10.1007/s12210-026-01436-7openalex-snapshot
Michele Caputo: a scientist from Geodesy, far beyond Geodesy
inferred← citeshttps://doi.org/10.1007/s12346-023-00870-4openalex-snapshot
Some New Properties of the Mittag-Leffler Functions and Their Applications to Solvability and Stability of a Class of Fractional Langevin Differential Equations
inferred← citeshttps://doi.org/10.1007/s12633-023-02815-7openalex-snapshot
Thermoelastic Waves Propagation through Semiconductor Nanostructure by a Ramp Heat Source
inferred← citeshttps://doi.org/10.1007/s12648-019-01635-zopenalex-snapshot
Three-phase-lag thermoelastic heat conduction model with higher-order time-fractional derivatives
inferred← citeshttps://doi.org/10.1007/s12648-019-01652-yopenalex-snapshot
Reflection of waves in a rotating semiconductor nanostructure medium through torsion-free boundary condition
inferred← citeshttps://doi.org/10.1007/s12648-023-02641-yopenalex-snapshot
Reflection of waves in a magneto-thermoelastic medium with diffusion in the context of memory-dependent derivative theory
inferred← citeshttps://doi.org/10.1007/s12648-023-02800-1openalex-snapshot
Influence of a magnetic field on a nonlocal thermoelastic porous solid with memory-dependent derivative
inferred← citeshttps://doi.org/10.1007/s12648-024-03369-zopenalex-snapshot
The effect of gravity on a nonlocal fiber-reinforced thermoelastic solid with reference temperature-dependent material properties via various theories
inferred← citeshttps://doi.org/10.1007/s13540-021-00004-0openalex-snapshot
Fractional boundary value problems
inferred← citeshttps://doi.org/10.1007/s13540-024-00294-0openalex-snapshot
A review of constitutive models for non-Newtonian fluids
inferred← citeshttps://doi.org/10.1007/s13540-024-00311-2openalex-snapshot
On Taylor’s formulas in fractional calculus: overview and characterization for the Caputo derivative
inferred← citeshttps://doi.org/10.1007/s13540-024-00313-0openalex-snapshot
Fractional boundary value problems and elastic sticky brownian motions
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