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Showing 1 to 20 of 35 for “"elastic materials"”.
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Some Formation Problems for Linear Elastic Materials
Some equations of linear elasticity are developed, including those specific to certain actuator structures considered in formation theory. The invariance of the strain-energy under the transformation from rectangular to spherical coordinates is then established for use in two specific formation …
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Void initiation in a class of compressible elastic materials
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 1987.
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Broadband Acoustic Liner Optimization Study Using Novel Poro-elastic Materials
… liner designs. The inclusion of acoustic metamaterials within these liners is examined and optimized. The metamaterials studied consist of resonant and non-resonant materials which include porous foams, microperforated plates (MPP), and embedded aluminum masses. Through finite element …
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Nonlinear Electromechanical Deformation of Isotropic and Anisotropic Electro-Elastic Materials
… (EAPs) have emerged as a new class of active materials, which produce large deformations in response to an electric stimulus. EAPs have attractive characteristics of being lightweight, inexpensive, stretchable, and flexible. Additionally, EAPs are conformable, and their properties can be …
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Surface and interfacial waves and deformations in pre-stressed elastic materials
… propagation of surface and interfacial waves in elastic materials. Following a review of the classical theory of Rayleigh and Stoneley waves for linear elastic materials we consider first the propagation of infinitesimal surface waves on a half-space of incompressible material subject to a …
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Second-Order Effects in Problems for a Class of Elastic Materials
For a special class of elastic materials, the inverse deformation is always possible in the same material. This result is used to simplify the determination of second-order effects in problems for this special class. The second-order solution for indentation of a half-space by a smooth rigid sphere …
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Homogenization of heterogeneous Cauchy-elastic materials leads to Mindlin second-gradient elasticity
… the non-local parameters of a second gradient elastic ma- terial and the microstructure of a composite material. This result is instru- mental for the definition of higher-order models, to be used for the analysis of mechanics at micro- and nano-scale, where size-effects become important. The …
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Two-dimensional problems of anisotropic elastic materials with an extraordinary degenerate matrix N.
Two-dimensional problems of anisotropic elastic materials with an extraordinary degenerate matrix N.
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Polygonal finite elements for finite elasticity
Nonlinear elastic materials are of great engineering 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 …
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Comportamento termoelástico transiente no acoplamento de cilindros circulares concêntricos
… isotropic and follow Hooke's law for elastic materials. Strain-temperature coupling is disregarded and the analysis assumes quasi-static behavior.
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Análise de estruturas no estado plano de tensões e deformações com materiais elásticos, ortótropos e não lineares
Structural analysis for elastic-materials with non-linear constitutive equations. The principle of stationary energy is shown under weaker conditions than the usual assumption of a generalized Hooke's law. The finite element method is used for solving plane stress and plane strain problems. This …
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Heterogeneous (HG) Blankets for Improved Aircraft Interior Noise Reduction
… at low frequencies. HG blankets consist of poro-elastic media with small, embedded masses, operating similar to a distributed mass-spring-damper system. Although most traditional poro-elastic materials have failed to effectively reduce low-frequency, radiated sound from structures, HG blankets …
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Elastic and time dependent matrix cracking in cross-ply composite laminates
… level were performed for the case of linear elastic materials. The predictions were based on energy methods and linear elastic fracture mechanics. Damage was simulated with a Monte Carlo numerical scheme. The predicted results corresponded well with experimental data in the literature. …
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Dynamic analysis of composite beams using shear-deformable finite elements
… effects, and damping, and are limited to linear, elastic materials. However, both isotropic and orthotropic layers in symmetric and nonsymmetric configurations can be accomodated. In addition, the elements can impose a kinematic constraint on the entire beam or on individual layers within the …
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BODY TENSOR FORMALISM IN FINITE DEFORMATION ELASTICITY AND APPLICATION TO THE TORSION OF A CIRCULAR CYLINDER
… body tensor formalism for homogenous, isotropic elastic materials. This formalism is general and not limited to small deformations. One examines the physical laws and the constitutive equation which relates the stress to the strain with the help of the two Lame coefficients and the three third …
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Effects of nanoscale film thickness on apparent stiffness of and cell-mediated strains in polymers
The mechanical properties of compliant materials such as polymeric films and biological membranes that are of nanoscale in thickness are increasingly extracted from scanning probe microscope-enabled nanoindentation. These films are applied in various fields that require multiaxial loading …
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A Semi-analytical Model for Nonlinear Elliptical Inclusions with Spherical Eigenstrains
… decades, his theory, which considers linearly elastic materials, has been essential in developing homogenized micromechanical models for metals and composites. However, as solid mechanics research increasingly focuses on soft materials such as biological tissues, a linear theory is no longer …
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Precision constraint of deformable bodies for medical imaging applications
… constraint system that interfaces with nonlinear elastic materials such as biological tissue can be predicted by a model. The direct application of this work is the determination of the feasibility of restraining awake and anesthetized mice skulls to submicron levels of movement for biological …
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Finite element analysis of tunnel protection structure: West Side Highway Project, New York
… structural units are assumed to behave as linear elastic materials, and at the interface between the protection structure and soil the load development is assumed to be linear up to failure. The initial conditions in the soils around the Holland Tunnel are determined based on assumed tunnel …
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On deformations of compressible hyperelastic material
… 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. For each problem the equilibrium equations are …
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