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Showing 1 to 20 of 22 for “"finite deformations"”.
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Analysis of Finite Deformations of Membranes
Made available in DSpace on 2014-12-14T14:42:17Z (GMT). No. of bitstreams: 1 7913580.pdf: 2852862 bytes, checksum: 4a28114bbf2c82dddda990ff9fc294cf (MD5) Previous issue date: 1978
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Finite Deformations of Fiber-Reinforced Rubberlike Solids, and of Adhesively Bonded T-peel Joints
… (FRRM) commonly used in tires undergo large deformations, and exhibit different response in tension and compression along the fiber direction. Assuming that the response of a fiber-reinforced rubberlike material can be modeled as transversely isotropic with the fiber direction as the axis of …
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Analysis by Meshless Local Petrov-Galerkin Method of Material Discontinuities, Pull-in Instability in MEMS, Vibrations of Cracked Beams, and Finite Deformations of Rubberlike Materials
… actuated microbeam, and plane strain deformations of incompressible hyperelastic materials. The Moving Least Squares (MLS) approximation is used to generate basis functions for the trial solution, and for the test functions. Local symmetric weak formulations are derived, and the …
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Asymptotic solutions of a circular plate problem
The rotationally symmetric small and large finite deformations of an annular plate, clamped at its outside edge and containing a central rigid inclusion to which a normal load is applied, are considered. Perturbation techniques are applied to analyze the first approximations to the Reissner …
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Composite circular braid mechanics
… materials enables the simulated response to span finite deformations. A scheme for nondimensionalizing the model parameters and governing equations for each mode of operation is also proposed and implemented. In an effort to validate the assumptions underlying the model's formulation, a series of …
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Numerical analysis of elastic membrane structures subjected to hydrostatic pressure loading
… in isotropic elastic membranes undergoing finite deformations, while partly or totally subjected to pressure loading of the hydrostatic type. The possibility of wrinkling is accounted for by employing a Relaxed Strain Energy Density. The numerical procedure is based on the Dynamic …
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Dielectric elastomer composites: analytical and numerical non-convex homogenization methods and applications
… within the classical asymptotic context of small deformations and moderate electric fields. Specifically, by a combination of analytical and numerical techniques, rigorous homogenization solutions are constructed for dielectric elastomer composites with general (possibly anisotropic) classes of …
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Polygonal finite elements for finite elasticity
… interest, but challenging to model with standard finite elements. The challenges arise because nonlinear elastic materials undergo large reversible deformations, and often possess complex micro-structures. In this work, we propose and explore an alternative approach to model finite elasticity …
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Finite Coupled Torsion and Inflation of Functionally Graded Mooney-Rivlin Cylinders with and without Residual Stresses
… and their orientations optimize functionality. Deformations of such structures typically involve bending, stretching, and shearing. An everyday example of shearing deformation is the twisting of wet fabrics to extract water. In this study, we analytically examine the large deformations of …
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On deformations of compressible hyperelastic material
We consider the character of several finite deformations of compressible isotropic, nonlinear hyperelastic materials, specifically azimuthal shear of a thick-walled circular cylindrical tube, the bending deformation of a rectangular block and axial shear of a thick-walled circular cylindrical tube. …
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Microstructurally-based constitutive models of cytoskeletal networks for simulation of the biomechanical response of biological cells
… stretch and orientation states during large deformations. The network model captures the initial stiffness of the network as well as the nonlinear strain stiffening observed at large stresses in shear rheological data of bundled/unbundled in vitro F-actin networks. The cytoskeletal network …
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Computational Design of Transparent Polymeric Laminates subjected to Low-velocity Impact
… and windshields. Improved understanding of their deformations under impact loading and of energy dissipation mechanisms is needed for minimizing their weight. This requires verified and robust computational algorithms and validated mathematical models of the problem. Here we have developed a …
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On Designing Compliant Actuators Based On Dielectric Elastomers
… which can experience deviatoric (isochoric) finite deformations in response to applied large electric fields. Thanks to the strong electro-mechanical coupling, DE intrinsically offer great potentialities for conceiving novel solid-state mechatronic devices, in particular linear actuators, …
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Dynamic Response of Linear/Nonlinear Laminated Structures Containing Piezoelectric Laminas
… thin and thick plates are similar. The transient finite deformations of a neo-Hookean beam or plate with PZT patches bonded to its upper and lower surfaces are simulated by the finite element method. The constitutive relation for the piezoelectric material is taken to be linear in the …
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Local Water Slamming of Nonlinear Elastic Sandwich Hulls, and Adiabatic Shear Banding in Simple Shearing Deformations of Thermoelastoviscoplastic Bodies
… nonlinearities and used it to analyze, by the finite element method (FEM), transient finite deformations of a sandwich beam with two face sheets and the core made of St. Venant-Kirchhoff materials. A triangular cohesive zone model with stress based criterion for delamination initiation and …
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Iterative and variational homogenization methods for filled elastomers
… of accounting for interphasial phenomena and finite deformations. Exact and approximate analytical solutions for the fundamental nonlinear elastic response of dilute suspensions of rigid spherical particles (either firmly bonded or bonded through finite size interphases) in Gaussian rubber are …
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Towards a material damage model using the logarithmic strain, with von Mises plasticity considerations
… of the physical behaviour of materials under finite deformations — in particular, the stress-strain behaviour, load-deformation behaviour and location of weak zones. Throughout this study, non-linear continuum mechanics is utilised as the mathematical basis of the constitutive and general …
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On the two-potential constitutive modelling of rubber viscoelastic materials
U of I Only Restriction Lifted for Item 93166 on 2018-07-08T09:15:36Z.
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Micromecánica de elastómeros porosos y reforzados con fibras
… of composite’s microstructure geometry in finite deformations. Nevertheless, some non-lineal homogenization techniques that are able to simulate complex microstructures have appeared recently. Computational micromechanics is a different strategy to determine the macroscopic response of …
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