Results 51 to 60 of about 162,049 (328)

Plane crack problems within strain gradient elasticity and mixed finite element implementation

Computational Mechanics
An alternative approach is proposed and applied to solve boundary value problems within the strain gradient elasticity theory. A mixed variation formulation of the finite element method (FEM) based on the concept of the Galerkin method is used.
A. Chirkov, L. Nazarenko, H. Altenbach
semanticscholar   +1 more source

Screw dislocation in a Bi-medium within strain gradient elasticity revisited

Journal of the Mechanical Behavior of Materials, 2019
In this paper, we consider a straight screw dis-location near a flat interface between two elastic media in the framework of strain gradient elasticity (as studied by Gutkin et. al. [1]) by now taking care of some incomplete calculations).
Davoudi Kamyar M., Aifantis Elias C.
doaj   +1 more source

Linear Pantographic Sheets: Existence and Uniqueness of Weak Solutions [PDF]

, 2018
The well-posedness of the boundary value problems for second gradient elasticity has been studied under the assumption of strong ellipticity of the dependence on the second placement gradients (see, e.g., Chambon and Moullet in Comput. Methods Appl. Mech.
Boutin, Claude, Dell’Isola, Francesco, Eremeyev, Victor A., Steigmann, David   +3 more
core   +1 more source

Nonlinear Vibration Analysis of FG Nano-Beams in Thermal Environment and Resting on Nonlinear Foundation based on Nonlocal and Strain-Inertia Gradient Theory [PDF]

International Journal of Advanced Design and Manufacturing Technology, 2018
In present research, nonlinear vibration of functionally graded nano-beams subjected to uniform temperature rise and resting on nonlinear foundation is comprehensively studied.
Ebrahim Mahmoudpour
doaj  

On Dislocations in a Special Class of Generalized Elasticity

, 2005
In this paper we consider and compare special classes of static theories of gradient elasticity, nonlocal elasticity, gradient micropolar elasticity and nonlocal micropolar elasticity with only one gradient coefficient.
Aifantis, Aifantis, Aifantis, Aifantis, Altan, Ari, Carlson, DeWit, Eringen, Eringen, Eringen, Eringen, Eringen, Eringen, Eringen, Eringen, Green, Green, Gutkin, Gutkin, Gutkin, Gutkin, Gutkin, Kessel, Knésl, Kröner, Kröner, Kröner, Kröner, Kunin, Lazar, Lazar, Lazar, Lazar, Lazar, Minagawa, Minagawa, Mindlin, Mindlin, Mindlin, Mindlin, Nowacki, Nowacki, Povstenko, Povstenko, Povstenko, Povstenko, Povstenko, Povstenko, Ru, Schaefer, Zubov   +51 more
core   +1 more source

Incompatible strain gradient elasticity of Mindlin type: screw and edge dislocations

Acta Mechanica, 2021
The fundamental problem of dislocations in incompatible isotropic strain gradient elasticity theory of Mindlin type, unsolved for more than half a century, is solved in this work.
M. Lazar
semanticscholar   +1 more source

Non-linear elastic effects in phase field crystal and amplitude equations: Comparison to ab initio simulations of bcc metals and graphene [PDF]

, 2016
We investigate non-linear elastic deformations in the phase field crystal model and derived amplitude equations formulations. Two sources of non-linearity are found, one of them based on geometric non-linearity expressed through a finite strain tensor ...
Friák, M., Goldenfeld, N., Hüter, C., Neugebauer, J., Spatschek, R., Svendsen, B., Weikamp, M.   +6 more
core   +2 more sources

Uniqueness theorem in coupled strain gradient elasticity with mixed boundary conditions

Continuum Mechanics and Thermodynamics, 2021
The equilibrium equations and the traction boundary conditions are evaluated on the basis of the condition of the stationarity of the Lagrangian for coupled strain gradient elasticity.
L. Nazarenko, R. Glüge, H. Altenbach
semanticscholar   +1 more source

Strain gradient elasticity solution for functionally graded micro-cylinders [PDF]

International Journal of Engineering Science, 2012
In this paper, strain gradient elasticity formulation for analysis of FG (Functionally Graded) micro-cylinders is presented. The material properties are assumed to obey a power law in radial direction. The governing differential equation is derived as a fourth order ODE.
Sadeghi, H., Baghani, M., Naghdabadi, R.
openaire   +2 more sources

Bistable Mechanisms 3D Printing for Mechanically Programmable Vibration Control

Advanced Engineering Materials, EarlyView.
This work introduces a 3D‐printed bistable mechanism integrated into tuned mass dampers (TMDs) for mechanically adaptive passive vibration suppression. Through optimized geometry, the bistable design provides adaptable vibration reduction across a broad range of scenarios, achieving effective vibration mitigation without complex controls or external ...
Ali Zolfagharian, Frédéric Demoly, Mohammad Lakhi, Bernard Rolfe, Mahdi Bodaghi   +4 more
wiley   +1 more source