Relevant bibliographies by topics / Matrix mechanics

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Matrix mechanics'

Author: Grafiati
Published: 4 June 2021
Last updated: 29 July 2024

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Journal articles on the topic "Matrix mechanics"

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Little, J. Paige, Clayton Adam, Graeme Pettet, and Mark J. Pearcy. "Initiation of Mechanical Derangement in the Anulus Fibrosus Ground Matrix(Soft Tissue Mechanics)." Proceedings of the Asian Pacific Conference on Biomechanics : emerging science and technology in biomechanics 2004.1 (2004): 183–84. http://dx.doi.org/10.1299/jsmeapbio.2004.1.183.

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Kawamura, Y. "Generalized Matrix Mechanics." Progress of Theoretical Physics 107, no. 6 (June 1, 2002): 1105–15. http://dx.doi.org/10.1143/ptp.107.1105.

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Anninos, Dionysios, Frederik Denef, and Ruben Monten. "Grassmann matrix quantum mechanics." Journal of High Energy Physics 2016, no. 4 (April 2016): 1–26. http://dx.doi.org/10.1007/jhep04(2016)138.

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Tschang, Y. "Matrix Mechanics and Hadron Statics." Physics Essays 10, no. 2 (June 1997): 315–26. http://dx.doi.org/10.4006/1.3028718.

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Betzios, P., U. Gürsoy, and O. Papadoulaki. "Matrix quantum mechanics onS1/Z2." Nuclear Physics B 928 (March 2018): 356–414. http://dx.doi.org/10.1016/j.nuclphysb.2018.01.019.

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Bebiano, N., J. da Providência, and R. Lemos. "Matrix inequalities in statistical mechanics." Linear Algebra and its Applications 376 (January 2004): 265–73. http://dx.doi.org/10.1016/j.laa.2003.07.004.

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Kawamura, Y. "Structure of Cubic Matrix Mechanics." Progress of Theoretical Physics 109, no. 1 (January 1, 2003): 1–10. http://dx.doi.org/10.1143/ptp.109.1.

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Perovic, Slobodan. "Why were Matrix Mechanics and Wave Mechanics considered equivalent?" Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39, no. 2 (May 2008): 444–61. http://dx.doi.org/10.1016/j.shpsb.2008.01.004.

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SHALYT-MARGOLIN, A. E., and J. G. SUAREZ. "QUANTUM MECHANICS AT PLANCK'S SCALE AND DENSITY MATRIX." International Journal of Modern Physics D 12, no. 07 (August 2003): 1265–78. http://dx.doi.org/10.1142/s0218271803003700.

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In this paper Quantum Mechanics with Fundamental Length is chosen as Quantum Mechanics at Planck's scale. This is possible due to the theory of General Uncertainty Relations. Here Quantum Mechanics with Fundamental Length is obtained as a deformation of Quantum Mechanics. The distinguishing feature of the proposed approach in comparison with previous ones, lies in the fact that here the density matrix are subjected to deformation, whereas in the previous approaches only commutators are deformed. The density matrix obtained by deforming the quantum-mechanical one is named the density pro-matrix throughout this paper. Within our approach two main features of Quantum Mechanics are conserved: the probabilistic interpretation of the theory and the well-known measuring procedure corresponding to that interpretation. The proposed approach allows a description of the dynamics. In particular, the explicit form of the deformed Liouville's equation and the deformed Shrödinger's picture are given. Some implications of obtained results are discussed. In particular, the problem of singularity, the hypothesis of cosmic censorship, a possible improvement of the definition of statistical entropy and the problem of information loss in black holes are considered. It is shown that the results obtained here allow one to deduce in a simple and natural way the Bekenstein–Hawking's formula for black hole entropy in semiclassical approximation.
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Marshall, D. B., B. N. Cox, and A. G. Evans. "The mechanics of matrix cracking in brittle-matrix fiber composites." Acta Metallurgica 33, no. 11 (November 1985): 2013–21. http://dx.doi.org/10.1016/0001-6160(85)90124-5.

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Dissertations / Theses on the topic "Matrix mechanics"

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Pehlivan, Yamac. "Matrix Quantum Mechanics And Integrable Systems." Phd thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/12605065/index.pdf.

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In this thesis we improve and extend an algebraic technique pioneered by M. Gaudin. The technique is based on an infinite dimensional Lie algebra and a related family of mutually commuting Hamiltonians. In order to find energy eigenvalues of such Hamiltonians one has to solve the equations of Bethe ansatz. However, in most cases analytical solutions are not available. In this study we examine a special case for which analytical solutions of Bethe ansatz equations are not needed. Instead, some special properties of these equations are utilized to evaluate the energy eigenvalues. We use this method to find exact expressions for the energy eigenvalues of a class of interacting boson models. In addition to that, we also introduce a q-deformation of the algebra of Gaudin. This deformation leads us to another family of mutually commuting Hamiltonians which we diagonalize using algebraic Bethe ansatz technique. The motivation for this deformation comes from a relationship between Gaudin algebra and a spin extension of the integrable model of F. Calogero. Observing this relation, we then consider a well known periodic version of Calogero'
s model which is due to B. Sutherland. The search for a Gaudin-like algebraic structure which is in a similar relationship with the spin extension of Sutherland'
s model naturally leads to the above mentioned q-deformation of Gaudin algebra. The deformation parameter q and the periodicity d of the Sutherland model are related by the formula q=i{pi}/d.
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Dibelka, Jessica Anne. "Mechanics of Hybrid Metal Matrix Composites." Diss., Virginia Tech, 2013. http://hdl.handle.net/10919/50579.

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The appeal of hybrid composites is the ability to create materials with properties which normally do not coexist such as high specific strength, stiffness, and toughness. One possible application for hybrid composites is as backplate materials in layered armor. Fiber reinforced composites have been used as backplate materials due to their potential to absorb more energy than monolithic materials at similar to lower weights through microfragmentation of the fiber, matrix, and fiber-matrix interface. Composite backplates are traditionally constructed from graphite or glass fiber reinforced epoxy composites. However, continuous alumina fiber-reinforced aluminum metal matrix composites (MMCs) have superior specific transverse and specific shear properties than epoxy composites. Unlike the epoxy composites, MMCs have the ability to absorb additional energy through plastic deformation of the metal matrix. Although, these enhanced properties may make continuous alumina reinforced MMCs advantageous for use as backplate materials, they still exhibit a low failure strain and therefore have low toughness. One possible solution to improve their energy absorption capabilities while maintaining the high specific stiffness and strength properties of continuous reinforced MMCs is through hybridization. To increase the strain to failure and energy absorption capability of a continuous alumina reinforced Nextel" MMC, it is laminated with a high failure strain Saffil® discontinuous alumina fiber layer. Uniaxial tensile testing of hybrid composites with varying Nextel" to Saffil® reinforcement ratios resulted in composites with non-catastrophic tensile failures and an increased strain to failure than the single reinforcement Nextel" MMC. The tensile behavior of six hybrid continuous and discontinuous alumina fiber reinforced MMCs are reported, as well as a description of the mechanics behind their unique behavior. Additionally, a study on the effects of fiber damage induced during processing is performed to obtain accurate as-processed fiber properties and improve single reinforced laminate strength predictions. A stochastic damage evolution model is used to predict failure of the continuous Nextel" fabric composite which is then applied to a finite element model to predict the progressive failure of two of the hybrid laminates.
Ph. D.
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Francis, William H. IV. "Mechanics of post-microbuckled compliant-matrix composites." Connect to online resource, 2008. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:1453575.

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Wilkinson, Angus J. "Micro-mechanics of continuous fibre metal matrix composites." Thesis, University of Bristol, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.393899.

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Ahn, Byung Ki. "Interfacial Mechanics in Fiber-Reinforced Composites: Mechanics of Single and Multiple Cracks in CMCs." Diss., Virginia Tech, 1997. http://hdl.handle.net/10919/29791.

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Several critical issues in the mechanics of the interface between the fibers and matrix in ceramic matrix composites (CMCs) are studied. The first issue is the competition between crack deflection and penetration at the fiber/matrix interface. When a matrix crack, the first fracture mode in a CMC, reaches the interface, two different crack modes are possible; crack deflection along the interface and crack penetration into the fibers. A criterion based on strain energy release rates is developed to determine the crack propagation at the interface. The Axisymmetric Damage Model (ADM), a newly-developed numerical technique, is used to obtain the strain energy in the cracked composite. The results are compared with a commonly-used analytic solution provided by He and Hutchinson (HH), and also with experimental data on a limited basis. The second issue is the stress distribution near the debond/sliding interface. If the interface is weak enough for the main matrix crack to deflect and form a debond/sliding zone, then the stress distribution around the sliding interface is of interest because it provides insight into further cracking modes, i.e. multiple matrix cracking or possibly fiber failure. The stress distributions are obtained by the ADM and compared to a simple shear-lag model in which a constant sliding resistance is assumed. The results show that the matrix axial stress, which is responsible for further matrix cracking, is accurately predicted by the shear-lag model. Finally, the third issue is multiple matrix cracking. We present a theory to predict the stress/strain relations and unload/reload hysteresis behavior during the evolution of multiple matrix cracking. The random spacings between the matrix cracks as well as the crack interactions are taken into account in the model. The procedure to obtain the interfacial sliding resistance, thermal residual stress, and matrix flaw distribution from the experimental stress/strain data is discussed. The results are compared to a commonly-used approach in which uniform crack spacings are assumed. Overall, we have considered various crack modes in the fiber-reinforced CMCs; from a single matrix crack to multiple matrix cracking, and have suggested models to predict the microscopic crack behavior and to evaluate the macroscopic stress/strain relations. The damage tolerance or toughening due to the inelastic strains caused by matrix cracking phenomenon is the key issue of this study, and the interfacial mechanics in conjunction with the crack behavior is the main issue discussed here. The models can be used to interpret experimental data such as micrographs of crack surface or extent of crack damage, and stress/strain curves, and in general the models can be used as guidelines to design tougher composites.
Ph. D.
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林長淨 and Cheung-ching Lam. "The U-matrix theory and its applications." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1986. http://hub.hku.hk/bib/B31230635.

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Lam, Cheung-ching. "The U-matrix theory and its applications /." [Hong Kong : University of Hong Kong], 1986. http://sunzi.lib.hku.hk/hkuto/record.jsp?B12323901.

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Cui, Wenping. "Statistical Mechanics of Microbiomes:." Thesis, Boston College, 2021. http://hdl.handle.net/2345/bc-ir:109135.

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Thesis advisor: Pankaj Mehta
Thesis advisor: Ziqiang Wang
Nature has revealed an astounding degree of phylogenetic and physiological diversity in natural environments -- especially in the microbial world. Microbial communities are incredibly diverse, ranging from 500-1000 species in human guts to over 1000 species in marine ecosystems. Historically, theoretical ecologists have devoted considerable effort to analyzing ecosystems consisting of a few species. However, analytical approaches and theoretical insights derived from small ecosystems consisting of a few species may not scale up to diverse ecosystems. Understanding such large complex ecosystems poses fundamental challenges to current theories and analytical approaches for modeling and understanding the microbial world. One promising approach for tackling this challenge that I develop in my thesis is to adapt and expand ideas from statistical mechanics to theoretical ecology. Statistical mechanics has helped us to understand how collective behaviors emerge from the interaction of many individual components. In this thesis, I present a unified theoretical framework for understanding complex ecosystems based on statistical mechanics, random matrix theories, and convex optimization. My thesis work has three key aspects: modeling, simulations, and theories. Modeling: Classical ecological models often focus on predator-prey relationships. However, this is not the norm in the microbial world. Unlike most macroscopic organisms, microbes relie on consuming and producing small organic molecules for energy and reproduction. In this thesis, we develop a new Microbial Consumer Resource Model that takes into account these types of metabolic cross-feeding interactions. We demonstrate that this model can qualitatively reproduce and explain statistical patterns observed in large survey data, including Earth Microbiome Project and the Human Microbiome Project. Simulations: Computational simulations are essential in theoretical ecology. Complex ecological models often involve ordinary differential equations (ODE) containing hundreds to thousands of interacting variables. Typical ODE solvers are based on numerical integration methods, which are both time and resource intensive. To overcome this bottleneck, we derived a surprising duality between constrained convex optimization and generalized consumer-resource models describing ecological dynamics. This allows us to develop a fast algorithm to solve the steady-state of complex ecological models. This improves computational performance by between 2-3 orders of magnitude compared to direct numerical integration of the corresponding ODEs. Theories:Few theoretical approaches allow for the analytic study of communities containing a large number of species. Recently, there has been considerable interest in the idea that ecosystems can be thought of as a type of disordered systems. This mapping suggests that understanding community coexistence patterns is actually a problem in "spin-glass'' physics. This has motivated physicists to use insights from spin glass theory to uncover the universal features of complex ecosystems. In this thesis, I use and extend the cavity method, originally developed in spin glass theories, to answer fundamental ecological questions regarding the stability, diversity, and robustness of ecosystems. I use the cavity method to derive new species backing bounds and uncover novel phase transitions to typicality
Thesis (PhD) — Boston College, 2021
Submitted to: Boston College. Graduate School of Arts and Sciences
Discipline: Physics
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Chia, Julian Yan Hon. "A micromechanics-based continuum damage mechanics approach to the mechanical behaviour of brittle matrix composites." Thesis, University of Glasgow, 2002. http://theses.gla.ac.uk/2856/.

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The thesis describes the development of a new continuum damage mechanics (hereafter, CDM) model for the deformation and failure of brittle matrix composites reinforced with continuous fibres. The CDM model is valid over sizes scales large compared to the spacing of the fibres and the dimensions of the damage. The composite is allowed to sustain damage in the form of matrix micro-cracking, shear delamination, tensile delamination and fibre failure. The constitutive equations are developed by decomposing the composite compliance into terms attributable to the fibre and matrix, and modelling the competing failure modes by intersecting failure surfaces based on maximum stress theory. The fibres are treated as being weakly bonded to the matrix so that the fibres only transmit axial loads, and fail in tension. The matrix is modelled as isotropic linear elastic and is treated as transversely-isotropic after damage has initiated. The effect of multiple matrix cracking on the stiffness was determined from experimental data, while failure was modelled by a rapid decay in the load bearing capacity. Although the model is motivated largely to proportional loading, matrix unloading and damage closure has been modelled by damage elasticity. During compression, the matrix stiffness is identical to the undamaged state with the exception that the fibres are assumed not to transmit compressive loads. The model was implemented computationally through a FORTRAN subroutine interfaced with the ABAQUS/Standard finite element solver. The CDM model was validated by comparing experimental and computational results of test specimens with unidirectional and balanced 0°-90° woven fibres of a brittle matrix composite, fabricated from polyester fibres in a polyester matrix. This composite system exhibits low elastic mismatch between fibres and matrix, and has similar non-dimensionalised stress-strain response to a SiC/SiC composite proposed for the exhaust diffuser unit of the Rolls-Royce EJ200 aero-engine.
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Wang, Aiguo. "Abrasive wear of metal matrix composites." Thesis, University of Cambridge, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.305516.

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Books on the topic "Matrix mechanics"

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Ludyk, Günter. Quantum Mechanics in Matrix Form. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-26366-3.

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Horn, Roger A. Matrix analysis. Cambridge [Cambridgeshire]: Cambridge University Press, 1990.

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International Symposium on Brittle Matrix Composites (3rd 1991 Warsaw, Poland). Brittle matrix composites 3. London: Elsevier Applied Science, 1991.

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Z, Voyiadjis G., Ju J. W, and U.S. National Congress of Applied Mechanics (12th : 1994 : University of Washington, Seattle), eds. Inelasticity and micromechanics of metal matrix composites. Amsterdam: Elsevier, 1994.

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Golub, Gene H. Matrix computations. 2nd ed. Baltimore, Md: Johns Hopkins University Press, 1989.

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1951-, O'Connor William, and Pulko Susan H, eds. Transmission line matrix in computational mechanics. Boca Raton, FL: CRC Press, 2006.

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Borg, Sidney F. Matrix-tensor methods in continuum mechanics. 2nd ed. Singapore: World Scientific, 1990.

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Thomas, King J., ed. Matrix methods andapplications. Englewood Cliffs: Prentice Hall, 1988.

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Blum, Karl. Density matrix theory and applications. 2nd ed. New York: Plenum Press, 1996.

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Benedetto, Richard F. Matrix management: Theory in practice. Dubuque, Iowa: Kendall/ Hunt Pub. Co., 1985.

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Book chapters on the topic "Matrix mechanics"

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Stapp, Henry. "Matrix Mechanics." In Compendium of Quantum Physics, 368–71. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-70626-7_114.

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Michelsen, Eric L. "Matrix Mechanics." In Quirky Quantum Concepts, 159–86. New York, NY: Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4614-9305-1_4.

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Rajasekar, S., and R. Velusamy. "Matrix Mechanics." In Quantum Mechanics I, 159–88. 2nd ed. Boca Raton: CRC Press, 2022. http://dx.doi.org/10.1201/9781003172178-6.

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Giliberti, Marco, and Luisa Lovisetti. "Matrix Mechanics." In Challenges in Physics Education, 397–429. Cham: Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-57934-9_11.

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Komech, Alexander. "Heisenberg’s Matrix Mechanics." In Quantum Mechanics: Genesis and Achievements, 25–34. Dordrecht: Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-5542-0_2.

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Feagin, James M. "Basic Matrix Mechanics." In Quantum Methods with Mathematica®, 101–6. New York, NY: Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-4328-1_9.

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Kazakov, Vladimir. "Matrix Quantum Mechanics." In Asymptotic Combinatorics with Application to Mathematical Physics, 3–21. Dordrecht: Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-010-0575-3_1.

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Lu, Lingyi, Junbo Jia, and Zhuo Tang. "Matrix Displacement Analysis." In Structural Mechanics, 124–58. Boca Raton: CRC Press, 2022. http://dx.doi.org/10.1201/9781003095699-7.

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Hecht, K. T. "The S Matrix." In Quantum Mechanics, 503–8. New York, NY: Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1272-0_51.

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Chawla, K. K. "Interface mechanics and toughness." In Ceramic Matrix Composites, 291–339. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4757-2216-1_9.

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Conference papers on the topic "Matrix mechanics"

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Liu, Xing-Xiang, and Li Zhang. "Matrix stretching operations." In The 2015 International Conference on Mechanics and Mechanical Engineering (MME 2015). WORLD SCIENTIFIC, 2016. http://dx.doi.org/10.1142/9789813145603_0162.

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Gucunski, Nenad, and Ali Maher. "Pavement Dynamic Response by Stiffness Matrix Approach." In 15th Engineering Mechanics Division Conference. Reston, VA: American Society of Civil Engineers, 2003. http://dx.doi.org/10.1061/40709(257)12.

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Rensburg, G. J. Jansen van, S. Kok, and D. N. Wilke. "MATERIAL PARAMETER IDENTIFICATION ON METAL MATRIX COMPOSITES." In 10th World Congress on Computational Mechanics. São Paulo: Editora Edgard Blücher, 2014. http://dx.doi.org/10.5151/meceng-wccm2012-18234.

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Shin, J. W., and D. J. Mooney. "Myeloid leukemia subtype-dependent sensitivity to matrix mechanics." In 2014 40th Annual Northeast Bioengineering Conference (NEBEC). IEEE, 2014. http://dx.doi.org/10.1109/nebec.2014.6972939.

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He, Bin, and Jin Long. "Differential Quadrature Discrete Time Transfer Matrix Method for Vibration Mechanics." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-85354.

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Transfer matrix method is a practical technology for vibration analysis of engineering mechanics. In this paper, Differential Quadrature Discrete Time–Transfer Matrix Method (DQ-DT-TMM) is presented for solving vibration mechanics. Firstly ordinary differential equations of the sub-structure or the element of the mechanical system are determined by classical mechanics rule and transformed as a set of algebraic equations at some discrete time points by the application of differential quadrature method. Then by extending the state vector of transfer matrix method, new transfer equations and transfer matrices of the sub-structures of the mechanical system are developed. The Riccati transform can be used to improve the computational convergence of the method. Several numerical examples show the proposed method can be regarded as an efficient tool for transient response analysis of vibration system.
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Ni, Qing-Qing, Ken Kurashiki, and Masaharu Iwamoto. "New approach to evaluation of fiber/matrix interface." In Second International Conference on Experimental Mechanics, edited by Fook S. Chau and Chenggen Quan. SPIE, 2001. http://dx.doi.org/10.1117/12.429585.

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Pedreiro, Marcelo R. de Matos, Rogério de O. Rodrigues, Maicon Marino Albertini, and Jefferson S. Camacho. "EXPLICIT STIFFNESS MATRIX FOR PARABOLIC PRISMATIC TRIANGULAR ELEMENT." In 10th World Congress on Computational Mechanics. São Paulo: Editora Edgard Blücher, 2014. http://dx.doi.org/10.5151/meceng-wccm2012-20360.

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Pandey, R., T. Sohail, A. I. Ajibona, and S. Saurabh. "Molecular Dynamics Insights into Bioconversion Induced Matrix Strain." In 57th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2023. http://dx.doi.org/10.56952/arma-2023-0785.

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ABSTRACT The total annual US consumption of natural gas is expected to surpass 40 trillion cubic feet in the coming years. Microbially enhanced coalbed methane (MECBM) aims to replicate naturally occurring microbial pathways to generate methane from in-situ coal. In a basic gamut of lab-characterization experiments investigating properties of coal as a reservoir, it was revealed microbial treatment of coal results in swelling of the coal matrix. Bio-strains in the matrix result in changes in connected porosity, and its stress-state which governs the flow behavior throughout the life of the producing reservoir. Use of molecular dynamics (MD) enables us to utilize the bio-strain data to understand the dynamic stress-state development in a MECBM reservoir. The Wiser coal molecule was used as the representative molecule, whose reactive potential was minimized using PCFF. The stable MD system enables application of strain, which enables the analysis of internal stresses. Results indicated internal stresses developed during bioconversion exceeded the Von Mises failure criterion for the sample tested in the laboratory under hydrostatic pressure (0.2 MPa). However, the internal stresses for sample under in-situ stress regimes was suppressed, far from the tensile failure conditions. INTRODUCTION AND BACKGROUND There has been a sustained increase in the demand for clean energy sources such as hydrogen and methane, especially as the world works towards meeting sustainable climate goals (Jun et al., 2016). Natural gases like methane have lower carbon footprint, as it generates approximately 50% of the carbon when compared to burning oil and coal for electricity generation (Tollefson, 2012). As such, natural gases are set to go up in production rates to meet environmental demands. Recent data indicates that the world demand for natural gas is expected to increase till 2045, with a significant portion of this demand to be met by increasing production from unconventional resources, such as coalbed methane (CBM) (Birol, 2017; Gonzales, 2021; IEA, 2022). CBM refers to naturally occurring methane extracted from coal and coal seams, which is an unconventional source of natural gas (Haldar, 2018). However, to meet the increasing demand for natural gas, researchers have made efforts to find ways to increase the production of coalbed methane. One such method is to replicate the natural production of methane formed by microbial breakdown of organic components present in coal (Flores et al., 2008; Strapoć et al., 2008; Midgley et al., 2010; Penner et al., 2010). This process of producing microbial methane from coal is referred to as Microbially Enhanced Coalbed Methane (MECBM) (Scott, 1999).
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Fee, Timothy J., and Joel L. Berry. "Mechanics of Electrospun Polycaprolactone Nanofibers." In ASME 2012 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/sbc2012-80297.

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Electrospun biomaterials are gaining popularity as scaffolding for engineered tissues. This fibrous scaffolding of natural or synthetic polymers can mimic properties of the natural extra-cellular matrix. Moreover, undifferentiated cells seeded onto and within an electrospun matrix may be directed to differentiate into a desired tissue type through the application of the appropriate biochemical and mechanical conditions. It is becoming clear that the mechanical deformation of any electrospun matrix plays an important role in cell signaling. However, electrospun biomaterials have inherently complex geometries due to the random deposition of fibers during the electrospinning process. Even “aligned” electrospun matrices generate off-axis forces under load. This complex fiber geometry complicates any attempt at quantifying forces exerted on adherent cells during electrospun matrix deformation.
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"Micro-fields of short fibre in matrix and macro-dynamic response of fibre composites." In Engineering Mechanics 2018. Institute of Theoretical and Applied Mechanics of the Czech Academy of Sciences, 2018. http://dx.doi.org/10.21495/91-8-565.

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Reports on the topic "Matrix mechanics"

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Gibala, Ronald, Amit K. Ghosh, David J. Srolovitz, John W. Holmes, and Noboru Kikuchi. The Mechanics and Mechanical Behavior of High-Temperature Intermetallic Matrix Composites. Fort Belvoir, VA: Defense Technical Information Center, June 2000. http://dx.doi.org/10.21236/ada382602.

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He, M. Y., and F. W. Zok. On the Mechanics of Microballoon-Reinforced Metal Matrix Composites. Fort Belvoir, VA: Defense Technical Information Center, April 1994. http://dx.doi.org/10.21236/ada277928.

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3

Lara-Curzio, E. The Mechanics of Creep Deformation in Polymer Derived Continuous Fiber-Reinforced Ceramic Matrix Composites. Office of Scientific and Technical Information (OSTI), January 2001. http://dx.doi.org/10.2172/777651.

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Osborne, D., and H. Ghonem. Experimental and Computational Study of Interphase Properties and Mechanics in Titanium Metal Matrix Composites at Elevated Temperatures. Fort Belvoir, VA: Defense Technical Information Center, March 2005. http://dx.doi.org/10.21236/ada438848.

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Ragalwar, Ketan, William Heard, Brett Williams, Dhanendra Kumar, and Ravi Ranade. On enhancing the mechanical behavior of ultra-high performance concrete through multi-scale fiber reinforcement. Engineer Research and Development Center (U.S.), September 2021. http://dx.doi.org/10.21079/11681/41940.

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Abstract:
Steel fibers are typically used in ultra-high performance concretes (UHPC) to impart flexural ductility and increase fracture toughness. However, the mechanical properties of the steel fibers are underutilized in UHPC, as evidenced by the fact that most of the steel fibers pull out of a UHPC matrix largely undamaged during tensile or flexural tests. This research aims to improve the bond between steel fibers and a UHPC matrix by using steel wool. The underlying mechanism for fiber-matrix bond improvement is the reinforcement of the matrix tunnel, surrounding the steel fibers, by steel wool. Single fiber pullout tests were performed to quantify the effect of steel wool content in UHPC on the fiber-matrix bond. Microscopic observations of pulled-out fibers were used to investigate the fiber-matrix interface. Compared to the control UHPC mixture with no steel wool, significant improvement in the flexural behavior was observed in the UHPC mixtures with steel wool. Thus, the addition of steel wool in steel fiber-reinforced UHPC provides multi-scale reinforcement that leads to significant improvement in fiber-matrix bond and mechanical properties of UHPC.
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Earthman, James C., and Enrique J. Lavernia. Fatigue Mechanisms in Metallic Matrix Composites. Fort Belvoir, VA: Defense Technical Information Center, August 1996. http://dx.doi.org/10.21236/ada319912.

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Freiman, S. W., D. C. Cranmer, E. R. Jr Fuller, W. Haller, M. J. Koczak, M. Barsoum, T. Palamides, and U. V. Deshmukh. Mechanical property enhancement in ceramic matrix composites. Gaithersburg, MD: National Institute of Standards and Technology, 1989. http://dx.doi.org/10.6028/nist.ir.89-4073.

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Freiman, S. W., T. W. Coyle, E. R. Fuller, P. L. Swanson, D. C. Cranmer, and W. Haller. Mechanical property enhancement in ceramic matrix composites. Gaithersburg, MD: National Bureau of Standards, 1988. http://dx.doi.org/10.6028/nbs.ir.88-3798.

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Fata, Jimmie E. Mechanisms of Matrix Metalloproteinase-Mediated p53 Regulation. Fort Belvoir, VA: Defense Technical Information Center, August 2006. http://dx.doi.org/10.21236/ada460754.

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Maltby, J. D. Mechanical Properties of Centrifugally Cast Metal Matrix Composites. Fort Belvoir, VA: Defense Technical Information Center, July 1992. http://dx.doi.org/10.21236/ada254321.

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