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1

Imam, A., and G. C. Johnson. "Decomposition of the Deformation Gradient in Thermoelasticity." Journal of Applied Mechanics 65, no. 2 (1998): 362–66. http://dx.doi.org/10.1115/1.2789063.

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The deformation gradient of a thermoelastic solid undergoing large deformations is decomposed into elastic and thermal components, corresponding to an intermediate configuration which is assumed to be stress-free. This decomposition is shown to be unique only to within a rigid-body motion of the intermediate configuration. An alternate decomposition is proposed in which this arbitrariness is removed. The thermoelastic theory developed on the basis of these decompositions is linearized, resulting in familiar expressions of linear thermoelasticity. The stress response function is further special
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2

Mohd Nor, Mohd Khir, Rade Vignjevic, and James Campbell. "Plane-Stress Analysis of the New Stress Tensor Decomposition." Applied Mechanics and Materials 315 (April 2013): 635–39. http://dx.doi.org/10.4028/www.scientific.net/amm.315.635.

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The accuracy and reliability of the new stress tensor decomposition to capture the plasticity behaviour of orthotropic materials under plane-stress conditions was examined in this paper. No experiment was required to perform this work. Therefore, the suitable, published paper which provides a relevant test result and sufficient material properties to characterise the new stress tensor decomposition, was used. This new stress tensor decomposition was used to presents a new yield criterion for orthotropic sheet metals under plane-stress conditions in this work. This was done by assuming the yiel
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3

Shimizu, H., Y. Marumo, Y. Mishima, and T. Matsuo. "Decomposition of mechanical stress effect on the magnetic property of silicon steel sheet." AIP Advances 13, no. 2 (2023): 025151. http://dx.doi.org/10.1063/9.0000450.

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A principal stress decomposition method was examined and compared with the equivalent stress theory to evaluate the stress-dependent magnetic properties of nonoriented silicon steel. A physical magnetization model, the multidomain particle model, was used to simulate the stress dependence of the magnetic properties by applying mechanical stress in different directions relative to the magnetic field direction. Experimental and computational tests show that even though the principal stress decomposition method provides a reasonable evaluation of the stress-dependent properties in the stress dire
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4

Lubarda, Vlado A. "Constitutive theories based on the multiplicative decomposition of deformation gradient: Thermoelasticity, elastoplasticity, and biomechanics." Applied Mechanics Reviews 57, no. 2 (2004): 95–108. http://dx.doi.org/10.1115/1.1591000.

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Some fundamental issues in the formulation of constitutive theories of material response based on the multiplicative decomposition of the deformation gradient are reviewed, with focus on finite deformation thermoelasticity, elastoplasticity, and biomechanics. The constitutive theory of isotropic thermoelasticity is first considered. The stress response and the entropy expression are derived in the case of quadratic dependence of the elastic strain energy on the finite elastic strain. Basic kinematic and kinetic aspects of the phenomenological and single crystal elastoplasticity within the fram
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5

Weiss, Julien, Ben Steinfurth, Léo Chamard, Alain Giani, and Philippe Combette. "Spectral Proper Orthogonal Decomposition of Unsteady Wall Shear Stress Under a Turbulent Separation Bubble." AIAA Journal 60, no. 4 (2022): 2150–59. https://doi.org/10.2514/1.j061087.

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Spectral proper orthogonal decomposition (SPOD) is used to investigate the low-frequency behavior of a pressure-induced turbulent separation bubble (TSB) generated on a one-sided diffuser at a nominal velocity of 20 m/s. The input to the decomposition is the unsteady wall shear stress determined experimentally with an array of novel calorimetric shear-stress sensors. The SPOD spectrum indicates low-rank behavior for frequencies below 10 Hz, which correspond to Strouhal numbers [Formula: see text] when built with the average TSB length and the nominal incoming velocity. A low-order model constr
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6

ICHINOSE, Toshikatsu, Noriyuki OGURA, and Yukihiro NISHIMURA. "MODE DECOMPOSITION OF TWO DIMENSIONAL STRESS FIELD." Journal of Structural and Construction Engineering (Transactions of AIJ) 61, no. 487 (1996): 83–91. http://dx.doi.org/10.3130/aijs.61.83_3.

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7

Tadano, Satoshi, and Takuya Ogawa. "Welding residual stress estimation from surface stress using gappy proper orthogonal decomposition." Computers & Structures 315 (August 2025): 107770. https://doi.org/10.1016/j.compstruc.2025.107770.

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8

LORCÉ, CÉDRIC. "THE PROTON SPIN DECOMPOSITION: PATH DEPENDENCE AND GAUGE SYMMETRY." International Journal of Modern Physics: Conference Series 25 (January 2014): 1460030. http://dx.doi.org/10.1142/s2010194514600301.

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We discuss the different types of decomposition of the proton spin. We stress that, despite their lack of uniqueness, the Chen et al. and Wakamatsu decompositions are perfectly measurable. We argue that a large part of the recent controversies boils down to the fact that there actually exist two types of gauge transformations in the Chen et al. approach, where physical and gauge degrees of freedom of the gauge potential are explicitly separated. By carefully distinguishing these two types of gauge transformations, one can easily understand how the concepts of gauge invariance, Stueckelberg sym
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9

Yu, Wei, Peng Wang, and Chixing Zhou. "General stress decomposition in nonlinear oscillatory shear flow." Journal of Rheology 53, no. 1 (2009): 215–38. http://dx.doi.org/10.1122/1.3037267.

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10

Ong, Edward Y. X., Meera Ramaswamy, Ran Niu, et al. "Stress decomposition in LAOS of dense colloidal suspensions." Journal of Rheology 64, no. 2 (2020): 343–51. http://dx.doi.org/10.1122/1.5144520.

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11

Tersoff, J. "Stress-Driven Alloy Decomposition during Step-Flow Growth." Physical Review Letters 77, no. 10 (1996): 2017–20. http://dx.doi.org/10.1103/physrevlett.77.2017.

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12

Pattillo, P. D., and R. S. Boswell. "Application of Strain Space Plasticity Theory to Surface Strain Gage Measurements." Journal of Energy Resources Technology 114, no. 1 (1992): 95–99. http://dx.doi.org/10.1115/1.2905927.

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Taking strain as the independent variable, the strain space plasticity theory introduced by Naghdi and Trapp is applied to the problem of interpreting strain gage readings for load paths that involve inelastic deformation. Equations developed herein permit the straightforward decomposition of the total measured strain into elastic and plastic components. Further, the strain space formulation leads naturally to the prediction of stress components, both the strain decomposition and the stress calculation requiring information on uniaxial stress-strain behavior obtained from a simple tension test
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13

Wang, Wenlong, George A. McMechan, Chen Tang, and Fei Xie. "Up/down and P/S decompositions of elastic wavefields using complex seismic traces with applications to calculating Poynting vectors and angle-domain common-image gathers from reverse time migrations." GEOPHYSICS 81, no. 4 (2016): S181—S194. http://dx.doi.org/10.1190/geo2015-0456.1.

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Separations of up- and down-going as well as of P- and S-waves are often a part of processing of multicomponent recorded data and propagating wavefields. Most previous methods for separating up/down propagating wavefields are expensive because of the requirement to save time steps to perform Fourier transforms over time. An alternate approach for separation of up-and down-going waves, based on extrapolation of complex data traces is extended from acoustic to elastic, and combined with P- and S-wave decomposition by decoupled propagation. This preserves all the information in the original data
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14

Song, Rui, Yaojiang Duan, Jianjun Liu, and Yujia Song. "Numerical Modeling on Dissociation and Transportation of Natural Gas Hydrate Considering the Effects of the Geo-Stress." Energies 15, no. 24 (2022): 9311. http://dx.doi.org/10.3390/en15249311.

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A deep understanding of the dissociation and transportation mechanism of natural gas hydrate (NGH), taking into account the effects of geo-stress, contributes to optimizing the development strategy and increases the exploitation efficiency of NGH. In this paper, the mathematical model, coupled with fluid heat and mass transfer, multiphase flow mechanics, and reaction kinetics with phase change in the process of hydrate decomposition was established. An axisymmetric two-dimensional model was developed to simulate the depressurization decomposition process of natural gas hydrate in the Berea san
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15

Uribe, Pamela, Javiera Barra, Kevin Painen, et al. "FeTPPS, a Peroxynitrite Decomposition Catalyst, Ameliorates Nitrosative Stress in Human Spermatozoa." Antioxidants 12, no. 6 (2023): 1272. http://dx.doi.org/10.3390/antiox12061272.

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Excessive levels of reactive nitrogen species (RNS), such as peroxynitrite, promote nitrosative stress, which is an important cause of impaired sperm function. The metalloporphyrin FeTPPS is highly effective in catalyzing the decomposition of peroxynitrite, reducing its toxic effects in vivo and in vitro. FeTPPS has significant therapeutic potential in peroxynitrite-related diseases; however, its effects on human spermatozoa under nitrosative stress have not been described. This work aimed to evaluate the in vitro effect of FeTPPS against peroxynitrite-mediated nitrosative stress in human sper
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16

Christian, W. J. R., A. D. Dean, K. Dvurecenska, C. A. Middleton, and E. A. Patterson. "Comparing full-field data from structural components with complicated geometries." Royal Society Open Science 8, no. 9 (2021): 210916. http://dx.doi.org/10.1098/rsos.210916.

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A new decomposition algorithm based on QR factorization is introduced for processing and comparing irregularly shaped stress and deformation datasets found in structural analysis. The algorithm improves the comparison of two-dimensional data fields from the surface of components where data is missing from the field of view due to obstructed measurement systems or component geometry that results in areas where no data is present. The technique enables the comparison of these irregularly shaped datasets without the need for interpolation or warping of the data necessary in some other decompositi
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17

Mihajlovi?, M. D., and S. Mijalkovi? "A component decomposition preconditioning for 3D stress analysis problems." Numerical Linear Algebra with Applications 9, no. 6-7 (2002): 567–83. http://dx.doi.org/10.1002/nla.298.

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18

Necasova, K., P. Buchta, I. Chromkova, T. Stanek, and T. Simbera. "Decomposition of asbestos materials using fluoride wastes." IOP Conference Series: Materials Science and Engineering 1205, no. 1 (2021): 012018. http://dx.doi.org/10.1088/1757-899x/1205/1/012018.

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Abstract Asbestos is one of the materials causing ecological stress. Due to its health harmfulness, an effective, ecological, and economic decomposition is highly desirable. One of the decomposition possibilities is a chemical decomposition, which could compete with commonly used thermal decomposition. The chemical decomposition can be accomplished both with the use of pure chemicals and waste chemicals from production technologies. This work deals with the use of technological wastes containing hydrofluoric acid or fluorides. Fluorides release hydrofluoric acid in the acid medium, which acts
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19

Yanjie, Wang, Xie Xulong, He Tianpeng, Liu Sijun, and Yu Wei. "Contact stress decomposition in large amplitude oscillatory shear of concentrated noncolloidal suspensions." Journal of Rheology 68, no. 4 (2024): 623–39. http://dx.doi.org/10.1122/8.0000790.

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The concentrated noncolloidal suspensions show complex rheological behavior, which is related to the existence of contact stress. However, determining the contact stress in time-varying flow like oscillatory shear is challenging. Herein, we propose a contact stress decomposition method to decompose the total stress directly into contact stress and hydrodynamic stress in large amplitude oscillatory shear (LAOS). The results of hydrodynamic stress and contact stress are consistent with those determined by the shear reversal experiment. The contact stress decomposition also explains the failure o
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20

Goodbrake, Christian, Alain Goriely, and Arash Yavari. "The mathematical foundations of anelasticity: existence of smooth global intermediate configurations." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477, no. 2245 (2021): 20200462. http://dx.doi.org/10.1098/rspa.2020.0462.

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A central tool of nonlinear anelasticity is the multiplicative decomposition of the deformation tensor that assumes that the deformation gradient can be decomposed as a product of an elastic and an anelastic tensor. It is usually justified by the existence of an intermediate configuration. Yet, this configuration cannot exist in Euclidean space, in general, and the mathematical basis for this assumption is on unsatisfactory ground. Here, we derive a sufficient condition for the existence of global intermediate configurations, starting from a multiplicative decomposition of the deformation grad
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21

Keiblinger, K. M., T. Schneider, B. Roschitzki, et al. "Effects of stoichiometry and temperature perturbations on beech leaf litter decomposition, enzyme activities and protein expression." Biogeosciences 9, no. 11 (2012): 4537–51. http://dx.doi.org/10.5194/bg-9-4537-2012.

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Abstract. Microbes are major players in leaf litter decomposition and therefore advances in the understanding of their control on element cycling are of paramount importance. Our aim was to investigate the influence of leaf litter stoichiometry in terms of carbon (C) : nitrogen (N) : phosphorus (P) ratios on the decomposition processes and to track changes in microbial community structures and functions in response to temperature stress treatments. To elucidate how the stoichiometry of beech leaf litter (Fagus sylvatica L.) and stress treatments interactively affect the microbial decomposition
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22

Lustenhouwer, Nicky, Daniel S. Maynard, Mark A. Bradford, et al. "A trait-based understanding of wood decomposition by fungi." Proceedings of the National Academy of Sciences 117, no. 21 (2020): 11551–58. http://dx.doi.org/10.1073/pnas.1909166117.

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As the primary decomposers of organic material in terrestrial ecosystems, fungi are critical agents of the global carbon cycle. Yet our ability to link fungal community composition to ecosystem functioning is constrained by a limited understanding of the factors accounting for different wood decomposition rates among fungi. Here we examine which traits best explain fungal decomposition ability by combining detailed trait-based assays on 34 saprotrophic fungi from across North America in the laboratory with a 5-y field study comprising 1,582 fungi isolated from 74 decomposing logs. Fungal growt
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23

Al-Ashhab, Samer S., and Rubayyi T. Alqahtani. "Estimation of the Shear Stress Parameter of a Power-Law Fluid." Mathematical Problems in Engineering 2016 (2016): 1–4. http://dx.doi.org/10.1155/2016/4729063.

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We apply the Adomian decomposition method to a power-law problem for solutions that do not change the sign of curvature. In particular we consider solutions with positive curvature. The power series obtained via the Adomian decomposition method is used to estimate the shear stress parameter as well as the instant of time where the solution reaches its terminal point of a steady state. We compare our results with estimates obtained via numerical integrators. More importantly we illustrate that the error is predictable and can be reduced without further effort or using higher order terms in the
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24

Huang, Jianwei, Shanjun Liu, Qiang Ni, Wenfei Mao, and Xiang Gao. "Experimental Study of Extracting Weak Infrared Signals of Rock Induced by Cyclic Loading under the Strong Interference Background." Applied Sciences 8, no. 9 (2018): 1458. http://dx.doi.org/10.3390/app8091458.

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To understand the possibility of monitoring the crustal stress and tectonic activities via satellite remote sensing technology, an experimental study focused on the thermal infrared variation was performed for cyclic loaded rock in the outdoor condition with two types of strong interference background. The stress-induced infrared radiation was extracted using wavelet analysis. The results showed that due to the significant effect of the ambient temperature, the weak stress-induced infrared signal was indistinguishable from the original infrared radiation. However, after wavelet decomposition,
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25

Ludwig, M. S., F. M. Robatto, S. Simard, D. Stamenovic, and J. J. Fredberg. "Lung tissue resistance during contractile stimulation: structural damping decomposition." Journal of Applied Physiology 72, no. 4 (1992): 1332–37. http://dx.doi.org/10.1152/jappl.1992.72.4.1332.

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Research in the mechanics of soft tissue, and lung tissue in particular, has emphasized that dissipative processes depend predominantly on the viscous stress. A corollary is that dissipative losses may be expressed as a tissue viscous resistance, (Rti). An alternative approach is offered by the structural damping hypothesis, which holds that dissipative processes within soft tissue depend directly more on the elastic stress than on the viscous stress. This implies that dissipative and elastic processes within lung tissues are coupled at a fundamental level. We induced alterations of Rti by exp
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26

Keiblinger, K. M., T. Schneider, B. Roschitzki, et al. "Effects of stoichiometry and temperature perturbations on beech litter decomposition, enzyme activities and protein expression." Biogeosciences Discussions 8, no. 6 (2011): 11827–61. http://dx.doi.org/10.5194/bgd-8-11827-2011.

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Abstract. Microbes are major players in leaf litter decomposition and therefore advances in the understanding of their control on element cycling are of paramount importance. Our aim was to investigate the influence of leaf litter stoichiometry in terms of carbon (C) : nitrogen (N) : phosphorus (P) on the decomposition process, and to follow changes in microbial community structure and function in response to temperature-stress treatments. To elucidate how the stoichiometry of beech litter (Fagus sylvatica L.) and stress treatments interactively affect the decomposition processes, a terrestria
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27

Razafindrazaka, Faniry H., Pavlo Yevtushenko, Konstantin Poelke, Konrad Polthier, and Leonid Goubergrits. "Hodge decomposition of wall shear stress vector fields characterizing biological flows." Royal Society Open Science 6, no. 2 (2019): 181970. http://dx.doi.org/10.1098/rsos.181970.

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A discrete boundary-sensitive Hodge decomposition is proposed as a central tool for the analysis of wall shear stress (WSS) vector fields in aortic blood flows. The method is based on novel results for the smooth and discrete Hodge–Morrey–Friedrichs decomposition on manifolds with boundary and subdivides the WSS vector field into five components: gradient (curl-free), co-gradient (divergence-free) and three harmonic fields induced from the boundary, which are called the centre, Neumann and Dirichlet fields. First, an analysis of WSS in several simulated simplified phantom geometries (duct and
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28

Terpou, Braeden A., Saurabh B. Shaw, Jean Théberge, et al. "Spectral decomposition of EEG microstates in post-traumatic stress disorder." NeuroImage: Clinical 35 (2022): 103135. http://dx.doi.org/10.1016/j.nicl.2022.103135.

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29

Vandeurzen, Ph, J. Ivens, and I. Verpoest. "Micro-Stress Analysis of Woven Fabric Composites by Multilevel Decomposition." Journal of Composite Materials 32, no. 7 (1998): 623–51. http://dx.doi.org/10.1177/002199839803200702.

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30

Carlson, Ross P. "Decomposition of complex microbial behaviors into resource-based stress responses." Bioinformatics 25, no. 1 (2008): 90–97. http://dx.doi.org/10.1093/bioinformatics/btn589.

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31

Steinke, Christian, and Michael Kaliske. "A phase-field crack model based on directional stress decomposition." Computational Mechanics 63, no. 5 (2018): 1019–46. http://dx.doi.org/10.1007/s00466-018-1635-0.

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32

Bollada, P. C., and T. N. Phillips. "A physical decomposition of the stress tensor for complex flows." Rheologica Acta 47, no. 7 (2008): 719–25. http://dx.doi.org/10.1007/s00397-007-0256-x.

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33

Patki, A., W. Wang, J. Mottershead, and E. Patterson. "Image decomposition as a tool for validating stress analysis models." EPJ Web of Conferences 6 (2010): 46005. http://dx.doi.org/10.1051/epjconf/20100646005.

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34

Sime, Louise C., David P. Stevens, Karen J. Heywood, and Kevin I. C. Oliver. "A Decomposition of the Atlantic Meridional Overturning." Journal of Physical Oceanography 36, no. 12 (2006): 2253–70. http://dx.doi.org/10.1175/jpo2974.1.

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Abstract A decomposition of meridional overturning circulation (MOC) cells into geostrophic vertical shears, Ekman, and bottom pressure–dependent (or external mode) circulation components is presented. The decomposition requires the following information: 1) a density profile wherever bathymetry changes to construct the vertical shears component, 2) the zonal-mean zonal wind stress for the Ekman component, and 3) the mean depth-independent velocity information over each isobath to construct the external mode. The decomposition is applied to the third-generation Hadley Centre Coupled Ocean–Atmo
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35

Lu, Jingsheng, Decai Lin, Dongliang Li, et al. "Microcosmic Characteristics of Hydrate Formation and Decomposition in the Different Particle Size Sediments Captured by Cryo-SEM." Journal of Marine Science and Engineering 10, no. 6 (2022): 769. http://dx.doi.org/10.3390/jmse10060769.

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Sand production and sand control studies in non-diagenetic reservoirs are the weak point in the conventional petroleum industry. However, natural gas hydrate (NGH) mainly exists in non-diagenetic strata, and sand production occurs during exploitation, which restricts the safe and sustainable production of NGH. To study the microcosmic characteristics of sand production, the hydrate decomposition behaviours in the sediments were captured by the Cryo-SEM method. The micromorphology of different particle sizes of sand samples containing NGH (the sand median diameter d50 is 150, 87, 55, 38, 24, an
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36

Matsu'ura, Mitsuhiro, and Toshiko Terakawa. "Decomposition of elastic potential energy and a rational metric for aftershock generation." Geophysical Journal International 227, no. 1 (2021): 162–68. http://dx.doi.org/10.1093/gji/ggab206.

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SUMMARY The occurrence of earthquakes can be regarded as shear fracture releasing the elastic potential energy stored in the Earth. The potential energy density of linear elastic forces is generally represented in the quadratic form of strain tensor components with the fourth-order coefficient tensor of elastic stiffness. When the material is isotropic, since the stiffness tensor is expressible as a linear combination of two independent symmetric tensors, we can decompose the elastic potential energy density into two independent parts, namely the volumetric part and the shearing part. By defin
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37

Zhou, Hong Yan. "Sudy on Determination of Cadmium Content in Rice." Advanced Materials Research 926-930 (May 2014): 1032–35. http://dx.doi.org/10.4028/www.scientific.net/amr.926-930.1032.

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Wavelet function using a variety of experimental spectral decomposition of the image area, the results show that the spectral fractal dimension db series db5 wavelet decomposition of the third layer is the most stable and reliable signal. And cadmium contamination levels in two different areas of Changchun area, for example, on the Hyperion image wavelet decomposition to obtain details of the signal spectrum fractal dimension map, identifying the extent of a wide range of rice cadmium pollution stress. This method is rapid, macro, accurate monitoring of cadmium contamination of rice provides a
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38

Smetaczek, Stefan, Eva Pycha, Joseph Ring, et al. "Investigating the electrochemical stability of Li7La3Zr2O12 solid electrolytes using field stress experiments." Journal of Materials Chemistry A 9, no. 27 (2021): 15226–37. http://dx.doi.org/10.1039/d1ta02983e.

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Dahlström, Alexander, Frederic Danoix, Peter Hedström, Joakim Odqvist, and Helena Zapolsky. "Effect of Stress on Spinodal Decomposition in Binary Alloys: Atomistic Modeling and Atom Probe Tomography." Metallurgical and Materials Transactions A 53, no. 1 (2021): 39–49. http://dx.doi.org/10.1007/s11661-021-06467-3.

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AbstractSelf-organizing nanostructure evolution through spinodal decomposition is a critical phenomenon determining the properties of many materials. Here, we study the influence of stress on the morphology of the nanostructure in binary alloys using atomistic modeling and atom probe tomography. The atomistic modeling is based on the quasi-particle approach, and it is compared to quantitative three-dimensional (3-D) atom mapping results. It is found that the magnitude of the stress and the crystallographic direction of the applied stress directly affect the development of spinodal decompositio
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40

He, Yuxin, DeAnn R. Presley, and John Tatarko. "Liquid N and S Fertilizer Solutions Effects on the Mass, Chemical, and Shear Strength Properties of Winter Wheat (Triticum aestivum) Residue." Transactions of the ASABE 60, no. 3 (2017): 671–82. http://dx.doi.org/10.13031/trans.11961.

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Abstract. To improve stand establishment in high crop residue situations, the utility of fertilizer to stimulate microbial decomposition of residue has been debated. Field experiments assessed winter wheat () straw decomposition under different fertilizer rates and application timings at three sites in western Kansas following wheat harvest in 2011 and 2012. Treatments included urea ammonium nitrate (UAN) applied at rates of 0, 22.4, 44.8, or 67.2 kg N ha-1 and ammonium thiosulfate (ATS) applied at rates of 16.8 or 33.6 kg S ha-1. Residue was collected and characterized for physical and chemic
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41

Renuka, Dhamni Patyal, Praveen Kumar M B, et al. "Impacts of Climate Change on Leaf Litter Chemistry and Decomposition in Forest Ecosystems." International Journal of Plant & Soil Science 37, no. 7 (2025): 460–77. https://doi.org/10.9734/ijpss/2025/v37i75591.

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Chemistry and decomposition of leaf litter are integral to the carbon cycle in forest ecosystems. As leaves detach from trees, they accumulate on the forest floor, forming organic matter that serves as a source of energy and nutrients for soil microorganisms. Leaf litter decomposition releases carbon dioxide into the atmosphere and returns nutrients to the soil, which plants absorb. Climate change is expected to affect leaf litter chemistry and decomposition in forests significantly. Elevated temperatures may accelerate leaf litter decomposition, increasing carbon dioxide emissions. However, h
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Amakura, Yuki, and Y.-h. Taguchi. "Estimation of Metabolic Effects upon Cadmium Exposure during Pregnancy Using Tensor Decomposition." Genes 13, no. 10 (2022): 1698. http://dx.doi.org/10.3390/genes13101698.

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A simple tensor decomposition model was applied to the liver transcriptome analysis data to elucidate the cause of cadmium-induced gene overexpression. In addition, we estimated the mechanism by which prenatal Cd exposure disrupts insulin metabolism in offspring. Numerous studies have reported on the toxicity of Cd. A liver transcriptome analysis revealed that Cd toxicity induces intracellular oxidative stress and mitochondrial dysfunction via changes in gene expression, which in turn induces endoplasmic reticulum-associated degradation via abnormal protein folding. However, the specific mecha
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Yu, Qiannan, Huimin Tang, Chenglong Li, et al. "Numerical Simulation of Natural-Gas-Hydrate Decomposition in Process of Heat-Injection Production." Processes 11, no. 8 (2023): 2349. http://dx.doi.org/10.3390/pr11082349.

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Heat-injection production is a common technique for gas-hydrate development, and the mechanism needs further in-depth study, particularly of the decomposition characteristics of natural-gas hydrate, which are important fundamental issues. The natural gas-hydrate-reservoir model is based on a mathematical description of reservoir properties that considers the effects of hydrate decomposition and reservoir stress conditions. The aim of our investigation was to analyze the production and decomposition characteristics of natural-gas hydrates based on the results of numerical simulations of heat-in
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Ali, Mjalled, El Hassan Mouhammad, Boldocký Ján, Gulan Martin, and Mönnigmann Martin. "Improved Neural Ordinary Differential Equation-based Reduced Model for Impinging Jet using Wall Shear Stress." Physics of Fluids 36, no. 11 (2024): 11514. https://doi.org/10.1063/5.0237733.

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Modeling the complex flow behavior of impingement jets is a problem of great importance in many industrial applications. Traditional modeling methods often fail to accurately predict these flows due to their nonlinear nature. This paper presents a neural network-based reduced-order model for experimental data of a circular impinging jet and compares several data assimilation frameworks for incorporating wall shear stress measurements obtained from different radial positions. The high-dimensional velocity field and the corresponding wall shear stress measurements are obtained using time-re
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Li, Chuan, Chuanming Li, Qinghua Han, et al. "Research on the Method of Calculating Anchorage Flaw Length Based on the Propagation Characteristics of Bolt Excitation Stress Waves." Symmetry 17, no. 2 (2025): 221. https://doi.org/10.3390/sym17020221.

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This research aimed to detect the defects of anchoring agents’ empty slurries in anchor support. The influence of anchoring defects on the propagation law of stress waves was comprehensively investigated using laboratory tests, theoretical calculations, and other methods. The characteristic modal components with symmetry and periodicity laws were extracted by adopting a variable modal decomposition (VMD) signal decomposition method. It was found that the bottom reflection time of stress waves had an inverse function relationship with the length of the anchorage flaw. The average propagation sp
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Šapina, Matej, Matthieu Garcin, Karolina Kramarić, Krešimir Milas, Dario Brdarić, and Marko Pirić. "The Hurst Exponent of Heart Rate Variability in Neonatal Stress, Based on a Mean-Reverting Fractional Lévy Stable Motion." Fluctuation and Noise Letters 19, no. 03 (2020): 2050026. http://dx.doi.org/10.1142/s0219477520500261.

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We aim at detecting stress in newborns by observing heart rate variability (HRV). The HRV features nonlinearities. Fractal dynamics is a usual way to model them and the Hurst exponent summarizes the fractal information. In our framework, we have observations of short duration, for which usual estimators of the Hurst exponent, like detrended fluctuation analysis (DFA), are not adapted. Moreover, we observe that the Hurst exponent does not vary much between stress and rest phases, but its decomposition in memory and underlying properties of the probability distribution leads to satisfactory diag
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Sinha, Avik, Narasingha Das, Arshian Sharif, and Satish Kumar. "Assessing Time Varying Interconnectedness Between Clean Energy Market and Financial Stress in USA." American Business Review 28, no. 1 (2025): 93–102. https://doi.org/10.37625/28.1.93-102.

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This study examined the time-varying relationship of the USA’s clean energy stock market under the financial stress scenarios. We have employed the empirical mode decomposition-wavelet windowed cross-correlation technique to gauge interconnectivity. According to our study, the USA investors would not hedge clean energy stocks over the long term during severe financial stress.
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Theocaris, Pericles S., and Dimitrios P. Sokolis. "Spectral decomposition of the linear elastic tensor for monoclinic symmetry." Acta Crystallographica Section A Foundations of Crystallography 55, no. 4 (1999): 635–47. http://dx.doi.org/10.1107/s0108767398016766.

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The compliance fourth-rank tensor related to crystalline or other anisotropic media belonging to the monoclinic crystal system is spectrally decomposed for the first time, and its characteristic values and idempotent fourth-rank tensors are established. Further, it is proven that the idempotent tensors resolve the stress and strain second-rank tensors into eigentensors, thus giving rise to a decomposition of the total elastic strain-energy density into non-interacting strain-energy parts. Several examples of representative inorganic crystals of the monoclinic system illustrate the results of t
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Zhang, Tao, Yibo Ai, and Weidong Zhang. "Hierarchical Tensor Decomposition of Module Partition for the Mechanical Simulation." Applied Sciences 13, no. 4 (2023): 2684. http://dx.doi.org/10.3390/app13042684.

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The mechanical simulation experiment can provide guidelines for the structural design of materials, but the module partition of mechanical simulation experiments is still in its infancy. A mechanical simulation contour, e.g., strain and stress contour, has hierarchical characteristics. By analyzing the contour at different layers, the physical properties of the structure material can be improved. Current state-of-the-art methods cannot distinguish between simulation strain contours, as well as sparsely distributed spots of strain (stress concentrations) from simulation strain contour images, r
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Xu, Guang Tao, and Shao Kang Wu. "PROPER GENERALIZED DECOMPOSITION METHOD FOR STRESS ANALYSIS OF FUNCTIONALLY GRADED MATERIALS." Mechanics of Solids 56, no. 3 (2021): 430–42. http://dx.doi.org/10.3103/s0025654421030146.

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