Field patterns: a new mathematical object
Field patterns occur in space–time microstructures such that a disturbance propagating
along a characteristic line does not evolve into a cascade of disturbances, but rather …
along a characteristic line does not evolve into a cascade of disturbances, but rather …
[图书][B] Time-domain scattering
PA Martin - 2021 - books.google.com
The wave equation, a classical partial differential equation, has been studied and applied
since the eighteenth century. Solving it in the presence of an obstacle, the scatterer, can be …
since the eighteenth century. Solving it in the presence of an obstacle, the scatterer, can be …
Formal asymptotics for oscillation of a discrete mass-spring-damper system of time-varying properties, embedded into a one-dimensional medium described by the …
SN Gavrilov, IO Poroshin, EV Shishkina… - Nonlinear …, 2024 - Springer
We consider a quite general problem concerning a linear free oscillation of a discrete mass-
spring-damper system. This discrete sub-system is embedded into a one-dimensional …
spring-damper system. This discrete sub-system is embedded into a one-dimensional …
Field patterns without blow up
Field patterns, first proposed by the authors in Milton and Mattei (2017 Proc. R. Soc. A 473
20160819), are a new type of wave propagating along orderly patterns of characteristic lines …
20160819), are a new type of wave propagating along orderly patterns of characteristic lines …
Non-stationary localized oscillations of an infinite Bernoulli-Euler beam lying on the Winkler foundation with a point elastic inhomogeneity of time-varying stiffness
EV Shishkina, SN Gavrilov, YA Mochalova - Journal of Sound and Vibration, 2019 - Elsevier
We consider non-stationary localized oscillations of an infinite Bernoulli-Euler beam. The
beam lies on the Winkler foundation with a point inhomogeneity (a concentrated spring with …
beam lies on the Winkler foundation with a point inhomogeneity (a concentrated spring with …
One-dimensional linear elastic waves at moving property interface
LQ Shui, ZF Yue, YS Liu, QC Liu, JJ Guo - Wave Motion, 2014 - Elsevier
Smart materials exhibit time-varying properties while time-varying external field is applied.
To investigate the one-dimensional (1-D) homogeneous time-varying properties, a moving …
To investigate the one-dimensional (1-D) homogeneous time-varying properties, a moving …
Universal formal asymptotics for localized oscillation of a discrete mass-spring-damper system of time-varying properties, embedded into a one-dimensional medium …
SN Gavrilov, IO Poroshin, EV Shishkina… - arXiv preprint arXiv …, 2024 - arxiv.org
We consider a quite general problem concerning a linear free oscillation of a discrete mass-
spring-damper system. This discrete sub-system is embedded into a one-dimensional …
spring-damper system. This discrete sub-system is embedded into a one-dimensional …
Acoustics and dynamic materials
PA Martin - Mechanics Research Communications, 2020 - Elsevier
The governing equations for small-amplitude acoustic disturbances are derived by
combining an admissible background flow or medium, balance laws, an equation of state …
combining an admissible background flow or medium, balance laws, an equation of state …
Three dimensional wave propagation in time-varying materials: A mathematical model based on the weak solutions of continuity in the moving property interface
In this work, the elastic wave propagation through the moving property interface (MPI) in time-
varying materials has been investigated. First, a general description of the MPI in time …
varying materials has been investigated. First, a general description of the MPI in time …
[图书][B] Wave momentum and quasi-particles in physical acoustics
GA Maugin, M Rousseau - 2015 - books.google.com
This unique volume presents an original approach to physical acoustics with additional
emphasis on the most useful surface acoustic waves on solids. The study is based on …
emphasis on the most useful surface acoustic waves on solids. The study is based on …