Results 71 to 80 of about 8,272 (192)
Phononic crystals and elastodynamics: Some relevant points
AIP Advances, 2014 In the present paper we review briefly some of the first works on wave propagation in phononic crystals emphasizing the conditions for the creation of acoustic band-gaps and the role of resonances to the band-gap creation. We show that useful conclusions
N. Aravantinos-Zafiris +3 more
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 3, Page 1914-1942, February 2026.ABSTRACT Examining the extent to which measurements of rotation matrices are close to each other is challenging due measurement noise. To overcome this, data is typically smoothed, and the Riemannian and Euclidean metrics are applied. However, if rotation matrices are not directly measured and are instead formed by eigenvectors of measured symmetric ...
P. D. Ledger +2 more
wiley +1 more source
Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We construct identities of Pohozhaev type, in the context of elastostatics and elastodynamics, by using the Noetherian approach. As an application, a non-existence result for forced semi-linear isotropic and anisotropic elastic systems is established.
Yuri Bozhkov, Peter J. Olver
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International Journal for Numerical Methods in Engineering, Volume 127, Issue 2, 30 January 2026.ABSTRACT Geometric nonlinearity arises in problems involving large displacements and rotations, where traditional linear assumptions fail. In the finite element community, several formulations have been developed to address these complexities; the corotational finite element formulation (CRF) has proven to be an efficient alternative to generic total ...
Andreas Zwölfer +2 more
wiley +1 more source
Ground Vibration Attenuation Induced by Gabion and Concrete Mats
International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 1, Page 339-350, January 2026.ABSTRACT This paper presents a numerical investigation of the ground vibration attenuation promoted by gabion and concrete mats. The analyses employ a coupled boundary‐finite element model, in which the mat is modeled as a flexible plate in fully bonded contact with the surface of an unbounded, linear‐elastic half‐space representing the soil.
Leonardo A. Marques +3 more
wiley +1 more source
A Novel Approach to Elastodynamics: II. The Three-Dimensional Case [PDF]
, 2010 A new approach was recently introduced by the authors for constructing analytic solutions of the linear PDEs describing elastodynamics. Here, this approach is applied to the case of a homogeneous isotropic half-space body satisfying arbitrary initial ...
Fokas, A. S., Yang, D.
core
Phonon band structures of three-dimensional pentamode metamaterials
, 2012 Three-dimensional pentamode metamaterials are artificial solids that approximately behave like liquids, which have vanishing shear modulus. Pentamodes have recently become experimental reality.
Aude Martin +6 more
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Journal of Geophysical Research: Solid Earth, Volume 131, Issue 1, January 2026.Abstract Earthquake nucleation length, a critical parameter characterizing the transition from quasi‐static propagation to dynamic rupture in the nucleation zone, has been observed to decrease with elevated shear stress loading rate. Recent laboratory experiments suggested that injection can also act as a loading condition, with the nucleation length ...
Xinyu Tan, Semechah K. Y. Lui
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Hyperelastic antiplane ground cloaking
, 2018 Hyperelastic materials possess the appealing property that they may be employed as elastic wave manipulation devices and cloaks by imposing pre-deformation.
Parnell, William J., Zhang, Pu
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On multi-time-step monolithic coupling algorithms for elastodynamics
, 2014 We present a way of constructing multi-time-step monolithic coupling methods for elastodynamics. The governing equations for constrained multiple subdomains are written in dual Schur form and enforce the continuity of velocities at system time levels ...
Karimi, S., Nakshatrala, K. B.
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