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Original Articles

On conservation integrals in micropolar elasticity

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Pages 1365-1377 | Published online: 15 Nov 2010

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Read on this site (4)

Arcady Dyskin, Elena Pasternak & Maxim Esin. (2015) Multiscale rotational mechanism of fracture propagation in geomaterials. Philosophical Magazine 95:28-30, pages 3167-3191.
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Markus Lazar & Charalampos Anastassiadis. (2008) The gauge theory of dislocations: conservation and balance laws. Philosophical Magazine 88:11, pages 1673-1699.
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Shaofan Li. (2008) On variational symmetry of defect potentials and multiscale configurational force. Philosophical Magazine 88:7, pages 1059-1084.
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M. Lazar & G. A. Maugin. (2007) On microcontinuum field theories: the Eshelby stress tensor and incompatibility conditions. Philosophical Magazine 87:25, pages 3853-3870.
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Articles from other publishers (23)

Junling Hou, Junnan Lv, Andreas Ricoeur, Yifeng Hu, Hong Zuo, Yiheng Chen & Qun Li. (2022) The M-integral in fracture and damage mechanics: A review of developments and applications. Engineering Fracture Mechanics 273, pages 108741.
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Pengfei Yu, Jianyong Chen, Hailong Wang, Xu Liang & Shengping Shen. (2018) Path-independent integrals in electrochemomechanical systems with flexoelectricity. International Journal of Solids and Structures 147, pages 20-28.
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Arcady V. Dyskin & Elena Pasternak. (2018) Cracks in heterogeneous materials with rotating constituents – Small and Intermediate scale Cosserat continua. Engineering Fracture Mechanics 187, pages 302-315.
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Hongjun Yu & Meinhard Kuna. 2018. Advances in Mechanics of Materials and Structural Analysis. Advances in Mechanics of Materials and Structural Analysis 419 448 .
Eleni Agiasofitou & Markus Lazar. (2017) Micromechanics of dislocations in solids: J -, M -, and L -integrals and their fundamental relations. International Journal of Engineering Science 114, pages 16-40.
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Hongjun Yu, Takashi Sumigawa, Takayuki Kitamura & Meinhard Kuna. (2016) Domain-independent I-integrals for force and couple stress intensity factor evaluations of a crack in micropolar thermoelastic medium. International Journal of Solids and Structures 100-101, pages 470-484.
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M Kapiturova, R Gracie & S Potapenko. (2014) Simulation of cracks in a Cosserat medium using the extended finite element method . Mathematics and Mechanics of Solids 21:5, pages 621-635.
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Tsong-Hsien Wu, Tungyang Chen & Chung-Ning Weng. (2015) Green’s functions and Eshelby tensors for an ellipsoidal inclusion in a non-centrosymmetric and anisotropic micropolar medium. International Journal of Solids and Structures 64-65, pages 1-8.
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Shoji IMATANI & Nobusuke MORI. (2015) An Elastoplastic Constitutive Model Based on the Cosserat Continuum Theory. Journal of the Society of Materials Science, Japan 64:4, pages 303-310.
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Hongjun Yu, Takashi Sumigawa & Takayuki Kitamura. (2014) A domain-independent interaction integral for linear elastic fracture analysis of micropolar materials. Mechanics of Materials 74, pages 1-13.
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Vlado A. Lubarda. (2012) Dual Eshelby stress tensors and related integrals in micropolar elasticity with body forces and couples. European Journal of Mechanics - A/Solids 36, pages 9-17.
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E. K. Agiasofitou & M. Lazar. (2008) Conservation and Balance Laws in Linear Elasticity of Grade Three. Journal of Elasticity 94:1, pages 69-85.
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V.A. Lubarda. (2008) The energy momentum tensor in the presence of body forces and the Peach–Koehler force on a dislocation. International Journal of Solids and Structures 45:6, pages 1536-1545.
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Helmut O.K Kirchner & Markus Lazar. (2007) The thermodynamic driving force for bone growth and remodelling: a hypothesis. Journal of The Royal Society Interface 5:19, pages 183-193.
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Vlado A. Lubarda & Xanthippi Markenscoff. (2008) Dual integrals in small strain elasticity with body forces. Comptes Rendus Mécanique 336:1-2, pages 190-202.
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Markus Lazar. (2007) On Conservation and Balance Laws in Micromorphic Elastodynamics. Journal of Elasticity 88:1, pages 63-78.
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Markus Lazar & Charalampos Anastassiadis. (2007) Lie Point Symmetries, Conservation and Balance Laws in Linear Gradient Elastodynamics. Journal of Elasticity 88:1, pages 5-25.
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Markus Lazar & Helmut O.K. Kirchner. (2007) The Eshelby stress tensor, angular momentum tensor and scaling flux in micropolar elasticity. International Journal of Solids and Structures 44:14-15, pages 4613-4620.
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Markus Lazar & Charalampos Anastassiadis. (2006) Lie point symmetries and conservation laws in microstretch and micromorphic elasticity. International Journal of Engineering Science 44:20, pages 1571-1582.
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H.G. Georgiadis & C.G. Grentzelou. (2006) Energy theorems and the J-integral in dipolar gradient elasticity. International Journal of Solids and Structures 43:18-19, pages 5690-5712.
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Markus Lazar & Helmut Kirchner. (2006) The Eshelby tensor in nonlocal elasticity and in nonlocal micropolar elasticity. Journal of Mechanics of Materials and Structures 1:2, pages 325-337.
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Gengkai Hu, Xiaoning Liu & Tian Jian Lu. (2005) A variational method for non-linear micropolar composites. Mechanics of Materials 37:4, pages 407-425.
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V.A. Lubarda. (2003) Circular inclusions in anti-plane strain couple stress elasticity. International Journal of Solids and Structures 40:15, pages 3827-3851.
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