Relevant bibliographies by topics / Transformation elastodynamics

Academic literature on the topic 'Transformation elastodynamics'

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Published: 11 March 2023

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Journal articles on the topic "Transformation elastodynamics"

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Norris, Andrew. "Transformation acoustics and elastodynamics." Journal of the Acoustical Society of America 128, no. 4 (October 2010): 2427. http://dx.doi.org/10.1121/1.3508670.

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Lu, Xiang Yang, and Jin Hu. "Approximate Elastodynamic Directional-Cloak with Isotropous Homogeneous Material." Advanced Materials Research 634-638 (January 2013): 2787–90. http://dx.doi.org/10.4028/www.scientific.net/amr.634-638.2787.

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Recently, the transformation method has been extended to control solid elastic waves in case of high frequency or small material gradient. An important device in practice, the approximate elastodynamic directional-cloak with isotropic homogeneous materials, can be designed based on this method. In this paper, this device’s design method is discussed in detail and its effect on cloaking arbitrary shaped obstacles is explored. It is also shown that this useful device cannot be designed based on the conventional transformation elastodynamics. Examples are conceived and validated by numerical simulations.
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Colquitt, D. J., M. Brun, M. Gei, A. B. Movchan, N. V. Movchan, and I. S. Jones. "Transformation elastodynamics and cloaking for flexural waves." Journal of the Mechanics and Physics of Solids 72 (December 2014): 131–43. http://dx.doi.org/10.1016/j.jmps.2014.07.014.

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Hu, Jin, and Xiang Yang Lu. "Concentrating Elastic Waves by Isotropic Homogeneous and Reflectionless Materials." Advanced Materials Research 625 (December 2012): 210–13. http://dx.doi.org/10.4028/www.scientific.net/amr.625.210.

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In this paper, we show that compared with the conventional transformation elastodynamics, the method based on physical interpretation of form-invariance can provide more flexibility in material design. As a result of this flexibility, the impedance-matched condition for both S and P waves in perpendicularly incident cases exists, thus the isotropic homogeneous elastic wave concentrator can be designed. Samples are conceived and validated by numerical simulations.
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Xiang, Chao Chun, and Jin Hu. "Guiding Solid Elastic Waves to Arbitrary Paths by Isotropic Materials." Applied Mechanics and Materials 302 (February 2013): 406–9. http://dx.doi.org/10.4028/www.scientific.net/amm.302.406.

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As a result of the flexibility provided by the transformation elastodynamics, the impedance-matched condition exists for both S and P waves in perpendicularly incident cases in isotropic materials, thus the isotropic elastic wave beam bender can be designed. In this paper, we explore some characteristics of this bender and show that by assembling the bender units a solid elastic beam can be guided to an arbitrary path, which will provide convenience in engineering practices. Examples are conceived and validated by numerical simulations.
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Nassar, H., Y. Y. Chen, and G. L. Huang. "A degenerate polar lattice for cloaking in full two-dimensional elastodynamics and statics." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474, no. 2219 (November 2018): 20180523. http://dx.doi.org/10.1098/rspa.2018.0523.

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A lattice design of a cloak for full two-dimensional elasticity is suggested when the background continuum is isotropic with Lamé parameters (λ, μ ) satisfying μ ≤ λ. The lattice is polar in the sense that it elastically resists rotations; and is degenerate meaning it admits a stressless collapse mechanism. These characteristics are attained through the use of appropriately distributed restoring torques in conjunction with hinge-like spring-mass contacts. Thus, the lattice is proven to exhibit a rank-3 elasticity tensor lacking the minor symmetries. Accordingly, it rigorously adheres to the form-invariance requirements of the transformation method under the Brun–Guenneau–Movchan gauge. The cloak is numerically tested in statics and in dynamics under pressure and shear incident waves and shows satisfactory performance. Finally, a theoretical generalization extends the design to three dimensions and to arbitrarily anisotropic backgrounds so as to enable cloaking as well as other transformation-based static and dynamic field manipulation techniques in these cases.
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Peng, Yong, and Xiao Xu Bai. "KED Modeling of PLS Mechanism." Applied Mechanics and Materials 268-270 (December 2012): 1319–26. http://dx.doi.org/10.4028/www.scientific.net/amm.268-270.1319.

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For the super-size and large flexibility of Pipe Lay-down System, considering the influence on the mechanism from elastic deformation and mechanical vibration during the movements, the kineto-elastodynamics model is established by using the KED theory which is based on the analysis of kinematics. The PLS mechanism is divided into several finite elements. Dynamic equations of beam element are established in the local coordinate by using Lagrange’s equation. In the process of changing from local coordinate into global coordinate, no longer considering the instantaneous structure assumes. In consideration of the first and second derivative of the coordinate transformation matrix versus time are not zero. The mass matrix, damping matrix and stiffness matrix of the final system kinematic differential equation are the function of time. It realizes the continuity of variable in the time domain. Derivation of the results in this paper lays a foundation for the next more accurate and efficient methods being applied to solve the KED equation of PLS mechanism.
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Markenscoff, Xanthippi. "Properties of the self-similarly expanding Eshelby inclusions and application to the dynamic “Hill Jump Conditions”." Mathematics and Mechanics of Solids 22, no. 3 (August 5, 2016): 573–78. http://dx.doi.org/10.1177/1081286515607094.

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For a self-similarly subsonically dynamically expanding Eshelby inclusion, we show by an analytic argument (based on the analyticity of the coefficients of the ensuing elliptic system and the Cauchy–Kowalevska theorem) that the particle velocity vanishes in the whole interior domain of the expanding inclusion. Since the acceleration term is thus zero in the interior domain in the Navier equations of elastodynamics, this reduces to an Eshelby problem. The classical Hill jump conditions across the interface of a region with transformation strain are expanded here to dynamics when the interface is moving with inertia satisfying the Hadamard jump conditions. The validity of the Eshelby property and the determination of the constrained strain from the dynamic Eshelby tensor in the interior domain allow one to fully determine from the Hill jump conditions the stress across the moving phase boundary of a self-similarly expanding ellipsoidal Eshelby inhomogeneous inclusion. The driving force can then be obtained. Self-similar motion grasps the early response of the system.
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Al-Attar, David, and Ophelia Crawford. "Particle relabelling transformations in elastodynamics." Geophysical Journal International 205, no. 1 (February 29, 2016): 575–93. http://dx.doi.org/10.1093/gji/ggw032.

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Yavari, Arash, and Ashkan Golgoon. "Nonlinear and Linear Elastodynamic Transformation Cloaking." Archive for Rational Mechanics and Analysis 234, no. 1 (May 16, 2019): 211–316. http://dx.doi.org/10.1007/s00205-019-01389-2.

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Dissertations / Theses on the topic "Transformation elastodynamics"

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Dang, Tran Thang. "Méthodes numériques pour l’homogénéisation élastodynamique des matériaux hétérogènes périodiques." Thesis, Paris Est, 2015. http://www.theses.fr/2015PEST1046/document.

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La théorie d'homogénéisation élastodynamique des matériaux hétérogènes initiée par J.R. Willis il y a environ une trentaine d'années a récemment reçu une très grande attention. D'après cette théorie qui est mathématiquement exacte, la loi constitutive homogénéisée est non locale en espace et en temps ; le tenseur des contraintes dépend non seulement du tenseur des déformations mais aussi de la vitesse ; la quantité du mouvement dépend à la fois de la vitesse et du tenseur des déformations, faisant apparaître en général une masse anisotrope. Ces propriétés constitutives effectives, qui pourraient être surprenantes d'un point de vue mécanique classique, se révèlent en fait très utiles pour la conception de métamatériaux acoustiques et de capes acoustiques. Ce travail de thèse consiste essentiellement à proposer et développer deux méthodes numériques efficaces pour déterminer les propriétés élastodynamiques effectives des matériaux périodiquement hétérogènes. La première méthode relève de la méthode des éléments finis alors que la deuxième méthode est basée sur la transformée de Fourier rapide. Ces deux méthodes sont d'abord élaborées pour une microstructure périodique 3D quelconque et ensuite implantées pour une microstructure périodique 2D quelconque. Les avantages et les inconvénients de chacune de ces deux méthodes sont comparés et discutés. A l'aide des méthodes numériques élaborées, la théorie de Willis est appliquée au calcul élastodynamique sur un milieu infini hétérogène et celui homogénéisé. Les différents cas d'homogénéisabilité et de non-homogénéisabilité sont discutés
The elastodynamic homogenization theory of heterogeneous materials initiated by J.R. Willis about thirty years ago has recently received considerable attention. According to this theory which is mathematically exact, the homogenized constitutive law is non-local in space and time; the stress tensor depends not only on the strain tensor but also on the velocity; the linear momentum depends on both the velocity and the strain tensor, making appear an anisotropic mass tensor in general. These effective constitutive properties, which may be surprising from a classical mechanical point of view, turn out in fact to be very useful for the design of acoustic metamaterials and acoustic cloaks. The present work is essentially to propose and develop two efficient numerical methods for determining the effective elastodynamic properties of periodically heterogeneous materials. The first method belongs to the finite element method while the second method is based on the fast Fourier transform. These two methods are first developed for any 3D periodic microstructure and then implanted for any 2D periodic microstructure. The advantages and disadvantages of each of these two methods are compared and discussed. Using the elaborated numerical methods, the Willis theory is applied to the elastodynamic computation over the infinite heterogeneous medium and the homogenized one. The various cases of homogeneisability and non-homogeneisability are discussed
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Books on the topic "Transformation elastodynamics"

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Transformation Wave Physics: Electromagnetics, Elastodynamics, and Thermodynamics. Taylor & Francis Group, 2016.

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Enoch, Stefan, Sébastien Guenneau, Mohamed Farhat, and Pai-Yen Chen. Transformation Wave Physics: Electromagnetics, Elastodynamics, and Thermodynamics. Jenny Stanford Publishing, 2016.

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Enoch, Stefan, Sébastien Guenneau, Mohamed Farhat, and Pai-Yen Chen. Transformation Wave Physics: Electromagnetics, Elastodynamics, and Thermodynamics. Jenny Stanford Publishing, 2016.

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Book chapters on the topic "Transformation elastodynamics"

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Guevara Vasquez, Fernando, Graeme W. Milton, Daniel Onofrei, and Pierre Seppecher. "Transformation Elastodynamics and Active Exterior Acoustic Cloaking." In Acoustic Metamaterials, 289–318. Dordrecht: Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-4813-2_12.

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Ting, T. T. C. "Steady State Motion and Surface Waves." In Anisotropic Elasticity. Oxford University Press, 1996. http://dx.doi.org/10.1093/oso/9780195074475.003.0015.

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The Stroh formalism for two-dimensional elastostatics can be extended to elastodynamics when the problem is a steady state motion. Most of the identities in Chapters 6 and 7 remain applicable. The Barnett-Lothe tensors S, H, L now depend on the speed υ of the steady state motion. However S(υ), H(υ), L(υ) are no longer tensors because they do not obey the laws of tensor transformation when υ≠0. Depending on the problems the speed υ may not be prescribed arbitrarily. This is particularly the case for surface waves in a half-space where υ is the surface wave speed. The problem of the existence and uniqueness of a surface wave speed in anisotropic materials is the crux of surface wave theory. It is a subject that has been extensively studied since the pioneer work of Stroh (1962). Excellent expositions on surface waves for anisotropic elastic materials have been given by Farnell (1970), Chadwick and Smith (1977), Barnett and Lothe (1985), and more recently, by Chadwick (1989d).
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Conference papers on the topic "Transformation elastodynamics"

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ROGERS, C., W. K. SCHIEF, A. MENTRELLI, and T. RUGGERI. "APPLICATION OF A BÄCKLUND TRANSFORMATION IN NONLINEAR ELASTODYNAMICS: TWO–PULSE INTERACTION." In Proceedings of the 15th Conference on WASCOM 2009. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814317429_0036.

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Parnell, William, Andrew Norris, and Tom Shearer. "Elastodynamic cloaking: transformation elasticity with pre-stressed hyperelastic solids." In ECUA 2012 11th European Conference on Underwater Acoustics. Acoustical Society of America, 2013. http://dx.doi.org/10.1121/1.4795345.

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Mahna, Vinod K., and Nanik T. Asnani. "Computational Techniques for Finite Element Method Based Kineto-Elastodynamic Analysis of Mechanisms." In ASME 1994 Design Technical Conferences collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/detc1994-0245.

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Abstract The aim of computational techniques employed for the kineto-elastodynamic analysis of mechanisms is to evaluate the strain induced at any prescribed location in an elastic constituent link of the mechanism. The problem to be grappled is one of multi-degree-of-freedom coupled differential equation and is amenable to its solution by the modal analysis and numerical integration techniques. This formidable problem calls for imposition of boundary conditions and inter-link compatibility requirements, assembly of elemental matrices, incorporation of geometric stiffness matrix, evaluation of non-symmetric coupling term matrices, elimination of rigid-body degrees of freedom, transformation of local constraints pressed upon by the kinematic joints to the global frame before the stage gets propitious to embark upon the solution procedure. This paper enlarges upon the computational aspects involved in the kineto-elastodynamic analysis of mechanisms using finite-element method.
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Hernandez, J. A., and T. N. Tallman. "The Piezoresistive Response of CNF/Epoxy to One-Dimensional Strain Wave Excitation via Remote Loading." In ASME 2020 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/smasis2020-2250.

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Abstract The piezoresistive effect in conductive nanofiller-modified polymer, cementitious, and ceramic composites has immense potential to enable multifunctional properties such as intrinsic self-sensing. To date, much work has been done to study the piezoresistive effect under quasi-static loading. Some work has also been done to study the piezoresistive effect under cyclic loading such as when a piezoresistive patch is adhered directly to an oscillating substrate. However, little-to-no work has been done with regard to general dynamic loading conditions such as strain waves originating from a remote source. This is an important gap in the state of the art for two reasons: One, coupling the self-sensing nature of nanocomposites with general elastodynamics is a possible pathway to enabling the study of full-field dynamics (i.e. using the piezoresistive effect to study internal dynamics as opposed to just surface measurements available via tools such as accelerometers and laser vibrometry). And two, coupling piezoresistive self-sensing with damage detection via vibratory methods could lead to transformative gains in the areas of structural health monitoring (SHM) and nondestructive evaluation (NDE). Therefore, we herein work towards addressing this gap in the state of the art by developing basic knowledge on the relation between elastic strain waves and piezoresistive response. Specifically, an electromagnetic-piezoelectric shaker is used to inject highly-controlled strain waves into a long and slender carbon nanofiber (CNF)-modified epoxy rod. Resistance changes along the length of the rod are then measured as strain waves travel along the length of the rod. It is shown that the measured resistance response closely matches the applied mechanical loading. Results from this preliminary study suggest the establishment of an exciting new field — piezoresistive elastodynamics.
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