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Computational strain gradient crystal plasticity
Journal of the Mechanics and Physics of Solids, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Niordson, Christian F. +1 more
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Plastic Axial Gradient-Index Material
Fourth Topical Meeting on Gradient-Index Optical Imaging Systems, 1984It has been reported1) that the axial GRIN lens reduces the third-order aberrations of an optical system in relation to the conventional homogeneous lens. In this paper we have succeeded in fabricating the plastic axial GRIN material by two different methods.
Yasuhiro Koike +2 more
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Variational principles for softening gradient dependent plasticity
International Journal of Solids and Structures, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Z. M., Peterson, M. L.
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Gradient‐dependent plasticity: Formulation and algorithmic aspects
International Journal for Numerical Methods in Engineering, 1992AbstractA plasticity theory is proposed in which the yield strength not only depends on an equivalent plastic strain measure (hardening parameter), but also on the Laplacian thereof. The consistency condition now results in a differential equation instead of an algebraic equation as in conventional plasticity.
De Borst, René, Mühlhaus, Hans-Bernd
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Formulations of Strain Gradient Plasticity
2011In the literature, different proposals for a strain gradient plasticity theory exist. So there is still a debate on the formulation of strain gradient plasticity models used for predicting size effects in the plastic deformation of materials. Three such formulations from the literature are discussed in this work.
Forest, Samuel, Bertram, A.
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Nonlocal and gradient rate plasticity
International Journal of Solids and Structures, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Finite Gradient Elasticity and Plasticity
2020Within the range of finite deformations, material laws have to fulfil certain invariance requirements. If we assume invariance under rigid body modifications, it is generally recommended to use material variables because of their invariance property, i.e. those which are defined in the reference placement.
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