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First strain gradient theory of thermoelasticity

International Journal of Solids and Structures, 1975
Abstract A first strain gradient theory of thermoelasticity is formulated employing a method due to Mindlin. The basic equations for linear dynamical thermoelasticity for infinitesimal motion are obtained and discussed. Wave propagation is considered and an example of a spherical thermal inclusion in an infinite body is solved and the corresponding ...
Ahmadi, G., Firoozbakhsh, K.
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A strain gradient theory of plasticity

International Journal of Solids and Structures, 1970
Abstract A theory which includes first and second strain gradients is proposed as a model for plastic deformations. Heuristic arguments for including the gradients are also given. The main goal is to develop a logical framework in which behavior on a small scale can interact with the response on a larger one.
Dillon, O. W. jun., Kratochvil, J.
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A finite deformation theory of strain gradient plasticity

Journal of the Mechanics and Physics of Solids, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hwang, K.   +4 more
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Mechanism-based strain gradient crystal plasticity—I. Theory

Journal of the Mechanics and Physics of Solids, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Han, C., Gao, H., Huang, Y., Nix, W.
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Strain gradient plasticity theory applied to machining

AIP Conference Proceedings, 2011
Machining is the most common manufacturing process. A good behaviour law is necessary in the simulation of machining processes (analytical and finite element modeling). Usually, commonly used behaviour laws such as Jonhson‐Cook can bring unsatisfactory results especially for high strain and large deformation processes.
Raphaël Royer   +4 more
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First-Strain Gradient Theory of Thermoviscoelasticity

Journal of Thermal Stresses, 2015
This paper is concerned with a linear theory of non-simple thermoviscoelastic solids. First, we derive a reciprocal theorem in the dynamic theory. Then, a variational theorem of Gurtin type is established. A uniqueness result for the mixed problem is also presented.
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On lower order strain gradient plasticity theories

European Journal of Mechanics - A/Solids, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Niordson, Christian F.   +1 more
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A strain-gradient theory for prestrained laminates

International Journal of Solids and Structures, 1973
Abstract A simple strain-gradient theory is developed for prestrained laminated materials consisting of thin, stiff reinforcing sheets embedded between thick, soft layers of a matrix material. The theory is used to investigate three types of instability that may occur in massive bodies: global, edge and internal buckling. The predictions for internal
Kiusalaas, J.   +2 more
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Bimaterial Interfacial Crack Growth With Strain Gradient Theory

Journal of Engineering Materials and Technology, 1999
The purpose of this paper is to investigate the effect of material heterogeneity on damage evolution and subsequent crack propagation in bimaterial systems. Strain gradient theory analysis reveals that a higher stress triaxiality always occurs on the softer material side due to the material mismatch in yield capacity and the corresponding strain ...
Su Hao, Wing Kam Liu
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Nanoindentations and Theory of Strain Gradient Viscoelasticity

2006
Nanoindentations on polymeric viscoelastic materials indicated plastic deformation is size dependent when the indentation is small. The deformation behaviors were successfully modeled using strain gradient plasticity. In this investigation, dynamic nanoindentations on polymeric viscoelastic materials indicated that the storage and loss moduli are size ...
L. H. Keung, D. C. C. Lam, P. Tong
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