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Dissertations / Theses on the topic 'Nonlinear Viscoelastic Models'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Sopakayang, Ratchada. "Viscoelastic Models for Ligaments and Tendons." Diss., Virginia Tech, 2010. http://hdl.handle.net/10919/77298.

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Collagenous tissues such as ligaments and tendons are viscoelastic materials. They exhibit a slow continuous increase in strain over time, or creep, when subjected to a constant stress and a slow continuous decrease in stress over time, or stress relaxation, when subjected to a constant strain. Moreover, the loading and unloading stress-strain curves are different when the tissues are subjected to cyclic loading, showing hysteresis and softening phenomena. The micro-structural origin of the viscoelasticity of these tissues is still unknown and the subject of debate among experts in biomechanic

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2

Davis, Frances Maria. "Nonlinear Viscoelastic Behavior of Ligaments and Tendons: Models and Experiments." Diss., Virginia Tech, 2013. http://hdl.handle.net/10919/50939.

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Ligaments and tendons are rope-like structures in our body that possess time- and history- dependent material properties. Despite the many advances made in experimental and theoretical biomechanics, the material properties of these biological structures are still not fully characterized. This dissertation represents a step forward in the development of combined theoretical and experimental tools that capture the time- and history-dependent material properties of ligaments and tendons.<br /><br />The mechanical behavior of bundles of collagen fibers which form ligaments and tendons was investig

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3

Muliana, Anastasia Hanifah. "Integrated Micromechanical-Structural Framework for the Nonlinear Viscoelastic Behavior of Laminated and Pultruded Composite Materials and Structures." Diss., Georgia Institute of Technology, 2004. http://hdl.handle.net/1853/5142.

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This study introduces a new three-dimensional (3D) multi-scale constitutive framework for the nonlinear viscoelastic analysis of laminated and pultruded composites. Two previously developed nonlinear micromechanical models for unidirectional and in-plane random composite layers are modified to include time-dependent and nonlinear behavior. A new recursive-iterative numerical integration method is introduced for the Schapery nonlinear viscoelastic model and is used to model the isotropic matrix subcells in the two micromodels. In addition, a sublaminate model is used to provide for a through

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4

Duque, Luiz Heleno Moreira. "Modelo dinâmico da coluna lombar humana, com solicitação de esforço postero-anterior : análise com rigidez viscoelástica não linear /." Guaratinguetá : [s.n.], 2006. http://hdl.handle.net/11449/105363.

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Orientador: Tamotsu Hirata<br>Banca: José Elias Tomazini<br>Banca: Luiz Fernando Costa Nascimento<br>Resumo: Um modelo fundamentado nos sistemas multicorpos, com sete corpos rígidos e oito corpos flexíveis, com três graus de liberdade para cada um dos corpos rígidos está sendo proposto. Os corpos rígidos são providos de inércia e os corpos flexíveis trabalham como juntas e não são providos de inércia. A solução numérica do modelo foi obtida com o método Runge-Kutta. Os parâmetros de influência, curvatura inicial da espinha lombar, posições dos centros geométricos das vértebras, tórax e da sacr

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5

Duque, Luiz Heleno Moreira [UNESP]. "Modelo dinâmico da coluna lombar humana, com solicitação de esforço postero-anterior: análise com rigidez viscoelástica não linear." Universidade Estadual Paulista (UNESP), 2006. http://hdl.handle.net/11449/105363.

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Made available in DSpace on 2014-06-11T19:34:58Z (GMT). No. of bitstreams: 0 Previous issue date: 2006-04-24Bitstream added on 2014-06-13T19:04:57Z : No. of bitstreams: 1 duque_lhm_dr_guara.pdf: 1861000 bytes, checksum: 826224c8ed71ff732f9aa6af40eab143 (MD5)<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>Um modelo fundamentado nos sistemas multicorpos, com sete corpos rígidos e oito corpos flexíveis, com três graus de liberdade para cada um dos corpos rígidos está sendo proposto. Os corpos rígidos são providos de inércia e os corpos flexíveis trabalham como juntas

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6

Huang, Chien-Wei. "Development and numerical implementation of nonlinear viscoelastic-viscoplastic model for asphalt materials." [College Station, Tex. : Texas A&M University, 2008. http://hdl.handle.net/1969.1/ETD-TAMU-3137.

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7

Chen, Xuewen. "A Nonlinear Viscoelastic Mooney-Rivlin Thin Wall Model for Unsteady Flow in Stenosis Arteries." Digital WPI, 2003. https://digitalcommons.wpi.edu/etd-theses/229.

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Severe stenosis may cause critical flow conditions related to artery collapse, plaque cap rupture which leads directly to stroke and heart attack. In this paper, a nonlinear viscoelastic model and a numerical method are introduced to study dynamic behaviors of the tube wall and viscous flow through a viscoelastic tube with a stenosis simulating blood flow in human carotid arteries. The Mooney-Rivlin material model is used to derive a nonlinear viscoelastic thin-wall model for the stenotic viscoelastic tube wall. The mechanical parameters in the Mooney-Rivlin model are calculated from experime

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8

Selcher, Patricia Willice. "Development of a power-law crack growth model for a rocket motor propellant exhibiting nonlinear viscoelastic behavior." Diss., Georgia Institute of Technology, 2001. http://hdl.handle.net/1853/17829.

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9

Chea, Limdara O. Knauss Wolfgang Gustav Knauss Wolfgang Gustav. "Finite element simulation and analysis of local stress concentration in polymers with a nonlinear viscoelastic constitutive model /." Diss., Pasadena, Calif. : California Institute of Technology, 1997. http://resolver.caltech.edu/CaltechETD:etd-01082008-095104.

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10

Groth, Kevin M. "Nonlinear Lumped-Parameter Model of the Lumbar Intervertebral Disc: A Study on Viscoelastic Deformation and Three-Dimensional Modeling of the Spine." Thesis, Virginia Tech, 2007. http://hdl.handle.net/10919/34313.

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Due to the mathematical complexity of current musculoskeletal spine models, there is a need for computationally-efficient models of the intervertebral disc (IVD). The aim of this study is to develop a mathematical model that will adequately describe the motion of the IVD under axial cyclic loading and three-dimensional quasi-static loading as well as maintain computational efficiency for use in future musculoskeletal spine models. <p> A viscoelastic standard nonlinear solid (SNS) model is introduced within this study. It was developed to predict the axial response of the human lumbar IVD

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11

Lázaro, Navarro Mario. "The Eigenvalue Problem in Linear Viscoelastic Structures: New Numerical Approaches and the Equivalent Viscous Model." Doctoral thesis, Universitat Politècnica de València, 2013. http://hdl.handle.net/10251/30062.

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El análisis y el control de las vibraciones cobra especial importancia en muchas ramas de la ingeniería, en especial la ingeniería mecánica, civil, aeronáutica y automovilística. Tal es así que prácticamente se identi¿ca como un área independiente dentro del análisis dinámico de estructuras. Desde los comienzos de esta teoría, las fuerzas disipativas o de amortiguamiento han sido uno de los fenómenos más difíciles de modelizar. El modelo viscoso, por su sencillez y versatilidad ha sido y sigue siendo el gran paradigma de los modelos de amortiguamiento. Sin embargo, como consecuencia de la

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12

Friedel, Luiz Fernando de Oliveira. "Análise de estruturas planas reforçadas com fibras ativas viscoelásticas e matriz com modelo constitutivo hiperelástico: aplicações gerais em engenharia e biomecânica." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/18/18134/tde-31032016-165919/.

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Neste trabalho apresenta-se uma formulação para modelagem não linear geométrica e não linear elástica de materiais compósitos através da imersão de elementos finitos de barra simples em elementos finitos triangulares do tipo chapa utilizando uma formulação inovadora do método dos elementos finitos baseada em posições. Essa formulação posicional utiliza funções de forma para aproximar grandezas definidas na Teoria da Elasticidade Não Linear e propõe que a energia específica de deformação e o potencial das cargas externas sejam escritos em função das posições nodais definidas a partir de uma fun

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13

Searle, Toby William. "Purely elastic shear flow instabilities : linear stability, coherent states and direct numerical simulations." Thesis, University of Edinburgh, 2017. http://hdl.handle.net/1842/28991.

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Recently, a new kind of turbulence has been discovered in the flow of concentrated polymer melts and solutions. These flows, known as purely elastic flows, become unstable when the elastic forces are stronger than the viscous forces. This contrasts with Newtonian turbulence, a more familiar regime where the fluid inertia dominates. While there is little understanding of purely elastic turbulence, there is a well-established dynamical systems approach to the transition from laminar flow to Newtonian turbulence. In this project, I apply this approach to purely elastic flows. Laminar flows are ch

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14

Wang, Min. "Three-dimensional, nonlinear viscoelastic analysis of laminated composites : a finite element approach." Thesis, 1993. http://hdl.handle.net/1957/35709.

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Polymeric composites exhibit time-dependent behavior, which raises a concern about their long term durability and leads to a viscoelastic study of these materials. Linear viscoelastic analysis has been found to be inadequate because many polymers exhibit nonlinear viscoelastic behavior. Classical laminate theory is commonly used in the study of laminated composites, but due to the plane stress/strain assumption its application has been limited to solving two dimensional, simple plate problems. A three dimensional analysis is necessary for the study of interlaminar stress and for problems invol

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15

Yao-YuChan and 詹曜宇. "Nonlinear Viscoelastic Constitutive Model for Electronic Package Organic Substrate." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/69433933294136738391.

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碩士<br>國立成功大學<br>機械工程學系碩博士班<br>100<br>Organic substrate is a key constituent for connecting printed circuit board and silicon die in electronic packages. Package warpage typically occurs because of the thermal expansion mismatch among various packing constituents such as silicon die, molding compound and multilayer substrate. When package warpage is too large, it may lead to difficulties of electrical interconnection. It is typically assumed that substrate is either elastic or linear viscoelastic. However, the substrate may exhibit nonlinear viscoelastic behavior when subjected to higher stress

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16

Shen, Ting-Shiuan, and 沈廷軒. "The Development of Nonlinear Viscoelastic-Viscoplastic Mechanic Model Coupling with Temperature Effect." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/27985664185177824982.

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碩士<br>國立中興大學<br>土木工程學系所<br>105<br>There are many researchers to investigate the viscoelastic and viscoplastic behavior of asphalt materials. The dynamic modulus test is widely employed to calibrate the viscoelasticity of asphalt materials; while the viscoplastic deformation is measured using repeated creep-recovery test under different loading paths. However, those researches studied the viscoplastic behavior only at high temperature. Lake of studies discuss the effect of temperature on the viscoplastic properties and nonlinear viscoelastic parameters for asphalt materials. This research condu

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17

Khan, Kamran Ahmed. "A Multiscale Model for Coupled Heat Conduction and Deformations of Viscoelastic Composites." Thesis, 2011. http://hdl.handle.net/1969.1/ETD-TAMU-2011-05-9431.

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This study introduces a multiscale model for analyzing nonlinear thermo-viscoelastic responses of particulate composites. A simplified micromechanical model consisting of four sub-cells, i.e., one particle and three matrix sub-cells is formulated to obtain the effective thermal and mechanical properties and time-dependent response of the composites. The particle and matrix constituents are made of isotropic homogeneous viscoelastic bodies undergoing small deformation gradients. Perfect bonds are assumed along the sub-cell⁰́₉s interfaces. The coupling between the thermal and mechanical response

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18

Chea, Limdara O. "Finite element simulation and analysis of local stress concentration in polymers with a nonlinear viscoelastic constitutive model." Thesis, 1997. https://thesis.library.caltech.edu/67/1/Chea_l_1997.pdf.

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NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document. Given a nonlinear viscoelastic (NLVE) constitutive model for a polymer, this numerical study aims at simulating local stress concentrations in a boundary value problem with a corner stress singularity. A rectangular sample of Polyvinyl Acetate (PVAc)-like cross-linked polymer clamped by two metallic rigid grips and subjected to a compression and tension load is numerically simulated. A modified version of the finite element code FEAP, that incorporated a NLVE model based on

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19

Müller, Boris. "Brownian Particles in Nonequilibrium Solvents." Doctoral thesis, 2019. http://hdl.handle.net/21.11130/00-1735-0000-0005-12E6-3.

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20

(9226604), Amin Joodaky. "MECHANICS AND DESIGN OF POLYMERIC METAMATERIAL STRUCTURES FOR SHOCK ABSORPTION APPLICATIONS." Thesis, 2020.

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<div>This body of work examines analytical and numerical models to simulate the response of structures in shock absorption applications. Specifically, the work examines the prediction of cushion curves of polymer foams, and a topological examination of a $\chi$ shape unit cell found in architected mechanical elastomeric metamaterials. The $\chi$ unit cell exhibits the same effective stress-strain relationship as a closed cell polymer foam. Polymer foams are commonly used in the protective packaging of fragile products. Cushion curves are used within the packaging industry to characterize a fo

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