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Journal articles on the topic 'Continuum mechanics'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Liu,, I.-Shih, and E. DeSantiago,. "Continuum Mechanics." Applied Mechanics Reviews 56, no. 3 (2003): B34—B35. http://dx.doi.org/10.1115/1.1566392.

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2

Romano, Giovanni, Raffaele Barretta, and Marina Diaco. "Geometric continuum mechanics." Meccanica 49, no. 1 (2013): 111–33. http://dx.doi.org/10.1007/s11012-013-9777-9.

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3

Baranyai, Tamás. "Projective continuum mechanics." Comptes Rendus. Mécanique 353, G1 (2025): 615–26. https://doi.org/10.5802/crmeca.298.

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The description of Cauchy stress and infinitesimal strain tensors is given, such that it is compatible with the homogeneous coordinate description of projective geometry. It is shown that neither material isotropy nor global material orthotropy are projective invariants thus the transformation of known solutions is useful only for statically determinate problems. As membrane shells are often statically determinate, they are identified as a potential area of application. The transformation of the graph of the Airy stress function is given in a point-wise projective three dimensional way, which

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4

Silbermann, C. B., and J. Ihlemann. "Analogies between continuum dislocation theory, continuum mechanics and fluid mechanics." IOP Conference Series: Materials Science and Engineering 181 (March 2017): 012037. http://dx.doi.org/10.1088/1757-899x/181/1/012037.

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5

Zhang-ji, Lu. "Micropolar continuum mechanics is more profound than classical continuum mechanics." Applied Mathematics and Mechanics 8, no. 10 (1987): 939–46. http://dx.doi.org/10.1007/bf02454256.

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6

Molerus, O. "Fluid mechanics and continuum mechanics." Heat and Mass Transfer 44, no. 5 (2007): 625–33. http://dx.doi.org/10.1007/s00231-007-0284-1.

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7

Burr, A., F. Hild, and F. A. Leckie. "Micro-mechanics and continuum damage mechanics." Archive of Applied Mechanics 65, no. 7 (1995): 437–56. http://dx.doi.org/10.1007/bf00835656.

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8

Santaoja, Kari Juhani. "On continuum damage mechanics." Rakenteiden Mekaniikka 52, no. 3 (2019): 125–47. http://dx.doi.org/10.23998/rm.76025.

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A material containing spherical microvoids with a Hookean matrix response was shown to take the appearance usually applied in continuum damage mechanics. However, the commonly used variable damage D was replaced with the void volume fraction f , which has a clear physical meaning, and the elastic strain tensor \Bold {ε}^e with the damage-elastic strain tensor \Bold {ε}^{de}. The postulate of strain equivalence with the effective stress concept was reformulated and applied to a case where the response of the matrix obeys Hooke’s law. In contrast to many other studies, in the derived relation be

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9

Pavelka, Michal, Ilya Peshkov, and Václav Klika. "On Hamiltonian continuum mechanics." Physica D: Nonlinear Phenomena 408 (July 2020): 132510. http://dx.doi.org/10.1016/j.physd.2020.132510.

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10

Besseling, J. F. "Mechanics and continuum thermodynamics." Archive of Applied Mechanics (Ingenieur Archiv) 70, no. 1-3 (2000): 115–26. http://dx.doi.org/10.1007/s004199900049.

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11

Alfredsson, K. S., and U. Stigh. "Continuum damage mechanics revised." International Journal of Solids and Structures 41, no. 15 (2004): 4025–45. http://dx.doi.org/10.1016/j.ijsolstr.2004.02.052.

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12

Kum, Oyeon, and William G. Hoover. "Time-reversible continuum mechanics." Journal of Statistical Physics 76, no. 3-4 (1994): 1075–81. http://dx.doi.org/10.1007/bf02188699.

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13

Peshkov, Ilya, Evgeniy Romenski, and Michael Dumbser. "Continuum mechanics with torsion." Continuum Mechanics and Thermodynamics 31, no. 5 (2019): 1517–41. http://dx.doi.org/10.1007/s00161-019-00770-6.

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14

Ramkissoon, H. "Representations in Continuum Mechanics." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 66, no. 1 (1986): 60–61. http://dx.doi.org/10.1002/zamm.19860660116.

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15

KOTAKE, Shigeo. "Explanation of Mechanical Properties from Quantum Continuum Mechanics." Proceedings of the JSME annual meeting 2000.3 (2000): 355–56. http://dx.doi.org/10.1299/jsmemecjo.2000.3.0_355.

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16

Oller, Sergio, Omar Salomón, and Eugenio Oñate. "A continuum mechanics model for mechanical fatigue analysis." Computational Materials Science 32, no. 2 (2005): 175–95. http://dx.doi.org/10.1016/j.commatsci.2004.08.001.

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17

Sciammarella, Cesar A., Luciano Lamberti, and Federico M. Sciammarella. "Verification of Continuum Mechanics Predictions with Experimental Mechanics." Materials 13, no. 1 (2019): 77. http://dx.doi.org/10.3390/ma13010077.

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The general goal of the study is to connect theoretical predictions of continuum mechanics with actual experimental observations that support these predictions. The representative volume element (RVE) bridges the theoretical concept of continuum with the actual discontinuous structure of matter. This paper presents an experimental verification of the RVE concept. Foundations of continuum kinematics as well as mathematical functions relating displacement vectorial fields to the recording of these fields by a light sensor in the form of gray-level scalar fields are reviewed. The Eulerian derivat

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18

Howarth, J. A., and A. Bedford. "Hamilton's Principle in Continuum Mechanics." Mathematical Gazette 70, no. 454 (1986): 329. http://dx.doi.org/10.2307/3616226.

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19

Chen, Wei-qiu. "The renaissance of continuum mechanics." Journal of Zhejiang University SCIENCE A 15, no. 4 (2014): 231–40. http://dx.doi.org/10.1631/jzus.a1400079.

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20

Saanouni, K., and J. M. A. César De Sá. "Advances in Continuum Damage Mechanics." International Journal of Damage Mechanics 20, no. 4 (2011): 483. http://dx.doi.org/10.1177/1056789510395435.

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21

Fosdick, Roger, and Huang Tang. "Surface Transport in Continuum Mechanics." Mathematics and Mechanics of Solids 14, no. 6 (2008): 587–98. http://dx.doi.org/10.1177/1081286507087316.

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22

Talpaert,, YR, and JG Simmonds,. "Tensor Analysis and Continuum Mechanics." Applied Mechanics Reviews 57, no. 1 (2004): B1. http://dx.doi.org/10.1115/1.1641771.

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23

Bedford, A., and S. L. Passman. "Hamilton’s Principle in Continuum Mechanics." Journal of Applied Mechanics 53, no. 3 (1986): 731. http://dx.doi.org/10.1115/1.3171846.

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24

Kachanov, L. M., and D. Krajcinovic. "Introduction to Continuum Damage Mechanics." Journal of Applied Mechanics 54, no. 2 (1987): 481. http://dx.doi.org/10.1115/1.3173053.

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25

Maugin, Gerard A., and A. C. Eringen. "Continuum Mechanics of Electromagnetic Solids." Journal of Applied Mechanics 56, no. 4 (1989): 986. http://dx.doi.org/10.1115/1.3176205.

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26

Béda, Gyula. "Constitutive Equations in Continuum Mechanics." International Applied Mechanics 39, no. 2 (2003): 123–31. http://dx.doi.org/10.1023/a:1023951829541.

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27

Shariff, M. H. B. M. "Spectral Derivatives in Continuum Mechanics." Quarterly Journal of Mechanics and Applied Mathematics 70, no. 4 (2017): 479–96. http://dx.doi.org/10.1093/qjmam/hbx014.

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28

Gould, Tim, Georg Jansen, I. V. Tokatly, and John F. Dobson. "Quantum continuum mechanics made simple." Journal of Chemical Physics 136, no. 20 (2012): 204115. http://dx.doi.org/10.1063/1.4721269.

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29

Graham, G. A. C., and S. K. Malik. "Continuum mechanics and its applications." International Journal of Plasticity 6, no. 5 (1990): 633. http://dx.doi.org/10.1016/0749-6419(90)90048-j.

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30

Potapov, V. D. "Stability via nonlocal continuum mechanics." International Journal of Solids and Structures 50, no. 5 (2013): 637–41. http://dx.doi.org/10.1016/j.ijsolstr.2012.10.019.

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31

Tang, C. Y. "Anisotropy in continuum damage mechanics." Scripta Metallurgica et Materialia 29, no. 2 (1993): 183–88. http://dx.doi.org/10.1016/0956-716x(93)90305-c.

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32

Cherepanov, G. P. "Invariant integrals in continuum mechanics." Soviet Applied Mechanics 26, no. 7 (1990): 619–30. http://dx.doi.org/10.1007/bf00889398.

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33

Barnaby, J. T. "Introduction to continuum damage mechanics." Materials & Design 8, no. 4 (1987): 242. http://dx.doi.org/10.1016/0261-3069(87)90152-x.

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34

Gollub, Jerry. "Continuum Mechanics in Physics Education." Physics Today 56, no. 12 (2003): 10–11. http://dx.doi.org/10.1063/1.1650202.

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35

TOKUOKA, Tatsuo. "What is Rational Continuum Mechanics?" Journal of the Society of Mechanical Engineers 88, no. 796 (1985): 253–59. http://dx.doi.org/10.1299/jsmemag.88.796_253.

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36

Temam,, R., A. Miranville,, and P. Gremaud,. "Mathematical Modeling in Continuum Mechanics." Applied Mechanics Reviews 54, no. 4 (2001): B57. http://dx.doi.org/10.1115/1.1383668.

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37

MURAKAMI, Sumio. "Progress of continuum damage mechanics." JSME international journal 30, no. 263 (1987): 701–10. http://dx.doi.org/10.1299/jsme1987.30.701.

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38

Kuropatenko, V. F. "New models of continuum mechanics." Journal of Engineering Physics and Thermophysics 84, no. 1 (2011): 77–99. http://dx.doi.org/10.1007/s10891-011-0457-0.

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39

Gegelia, T., and L. Jentsch. "Potential methods in continuum mechanics." Georgian Mathematical Journal 1, no. 6 (1994): 599–640. http://dx.doi.org/10.1007/bf02254683.

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40

Angoshtari, Arzhang, and Arash Yavari. "Differential Complexes in Continuum Mechanics." Archive for Rational Mechanics and Analysis 216, no. 1 (2014): 193–220. http://dx.doi.org/10.1007/s00205-014-0806-1.

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41

Malyarenko, Anatoliy, and Martin Ostoja-Starzewski. "Towards stochastic continuum damage mechanics." International Journal of Solids and Structures 184 (February 2020): 202–10. http://dx.doi.org/10.1016/j.ijsolstr.2019.02.023.

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42

Scholle, Markus. "Variational formulations in continuum mechanics." PAMM 11, no. 1 (2011): 693–94. http://dx.doi.org/10.1002/pamm.201110336.

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43

Altenbach, H. "Book Review:Fridtjov Irgens, Continuum Mechanics." ZAMM 88, no. 6 (2008): 520. http://dx.doi.org/10.1002/zamm.200890008.

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44

Capecchi, Danilo, and Giuseppe C. Ruta. "Piola’s contribution to continuum mechanics." Archive for History of Exact Sciences 61, no. 4 (2007): 303–42. http://dx.doi.org/10.1007/s00407-007-0002-x.

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45

Ragueneau, Frédéric, Arnaud Delaplace, and Luc Davenne. "Mechanical behaviour related to continuum damage mechanics for concrete." Revue Française de Génie Civil 7, no. 5 (2003): 635–45. http://dx.doi.org/10.1080/12795119.2003.9692514.

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46

Rodriguez, Miguel A., Christoph M. Augustin, and Shawn C. Shadden. "FEniCS mechanics: A package for continuum mechanics simulations." SoftwareX 9 (January 2019): 107–11. http://dx.doi.org/10.1016/j.softx.2018.10.005.

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47

Stuke, Bernward. "Towards a Fundamental Structure of Continuum Mechanics." Zeitschrift für Naturforschung A 48, no. 8-9 (1993): 883–94. http://dx.doi.org/10.1515/zna-1993-8-909.

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Abstract For a class of systems obeying Euler's equation of motion the existence of a quantity to be named "proper mechanical energy" (PME) is shown which, together with internal energy, results in a quantity to be named "proper energy" (PE), which is conserved under conditions of time-dependent potentials. The appertaining formal structure for the continuum mechanics of such systems is the counterpart to Gibbs' fundamental equation of thermodynamics and the relations deriving therefrom. Euler's equation of motion, in particular, corresponds to the Gibbs-Duhem equation of thermodynamics. The t

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48

Delphenich, D. H. "The optical-mechanical analogy for wave mechanics: a new hope." Journal of Physics: Conference Series 2197, no. 1 (2022): 012005. http://dx.doi.org/10.1088/1742-6596/2197/1/012005.

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Abstract The continuum-mechanical formulation of wave mechanics suggests that there is an intermediate stage of theoretical generality between wave mechanics and point mechanics, namely, continuum mechanics. When that argument is applied to the corresponding transition from wave optics to geometrical optics, the corresponding intermediate stage is essentially the geometrical theory of diffraction, i.e., the theory of diffracted geodesics.

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49

Jorshari, Tahereh Doroudgar, and Mir Abbas Roudbari. "A Review on the Mechanical Behavior of Size-Dependent Beams and Plates using the Nonlocal Strain-Gradient Model." Journal of Basic & Applied Sciences 17 (December 1, 2021): 184–93. http://dx.doi.org/10.29169/1927-5129.2021.17.18.

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Nowadays, the mechanical characteristics of micro-/nano-structures in the various types of engineering disciplines are considered as remarkable criteria which may restrict the performance of small-scale structures in the reality for a certain application. This paper deals with a comprehensive review pertinent to using the nonlocal strain-gradient continuum mechanics model of size-dependent micro-/nano-beams/-plates. According to the non-classical features of materials, using size-dependent continuum mechanics theories is mandatory to investigate accurately the mechanical characteristics of the

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50

Gallyamov, I. I., and L. F. Yusupova. "Magnetization of an elastic ferromagnet." Journal of Physics: Conference Series 2061, no. 1 (2021): 012026. http://dx.doi.org/10.1088/1742-6596/2061/1/012026.

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Abstract At the macroscopic level, ferromagnetism is a quantum mechanical phenomenon. To describe magnetic materials, it is necessary to create a heuristic model that in terms of continuum mechanics describes the interaction between the lattice continuum, which is a carrier of deformations, and the magnetization field, which is associated with the spin continuum through the gyromagnetic effect. According to the laws of quantum mechanics, each individual particle is associated with a magnetic moment and an internal angular momentum – spin. Electrons mainly contribute to the magnetic moment of t

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