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رفتار ترمومکانیکی آلیاژهای حافظه دار تحت بارگذاری چندمحوره: مدل سازی ساختاری و فرمول بندی عددی در محدوده تغییر شکل های کوچک و بزرگ
ارغوانی هادی، جمال Arghavani Hadi, Jamal
Cataloging brief
رفتار ترمومکانیکی آلیاژهای حافظه دار تحت بارگذاری چندمحوره: مدل سازی ساختاری و فرمول بندی عددی در محدوده تغییر شکل های کوچک و بزرگ
پدیدآور اصلی :
ارغوانی هادی، جمال Arghavani Hadi, Jamal
ناشر :
صنعتی شریف
سال انتشار :
1389
موضوع ها :
آلیاژ حافظه دار Shape Memory Alloy انتگرال گیری عددی Numerical Integration تغییر شکل...
شماره راهنما :
08-40885
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Abstract
(3)
Acknowledgments
(3)
List of Tables
(11)
List of Figures
(13)
Introduction to shape memory alloys
(18)
Smart materials
(18)
Shape memory Alloys
(20)
Shape memory effect
(26)
Pseudo-elasticity
(27)
SMA behavior under multiaxial loading
(29)
Classification of SMA behaviors
(30)
Applications
(33)
Couplings and Fasteners
(35)
Actuators
(36)
Adaptive materials and hybrid composites
(38)
Biomedical applications
(38)
Other applications
(43)
Literature review and research outline
(44)
Constitutive modeling approaches
(44)
Phenomenological SMA models
(46)
Models without internal variables
(46)
Models with internal variables
(47)
Literature review: models based on the continuum thermodynamics with internal variables
(50)
SMA modeling activities between 1980–1995
(50)
SMA modeling activities after 1995
(52)
Experimental studies on mechanical behavior of SMAs
(55)
Outline of the research
(56)
Preliminaries from nonlinear solid mechanics
(59)
Introduction
(59)
Kinematics
(59)
Balance equations
(65)
Constitutive equations
(69)
Weak form of equilibrium.
(71)
Weak form of linear momentum in the initial configuration
(71)
Weak form of linear momentum in the current configuration
(73)
Linearizations
(73)
Linearization of kinematical quantities
(74)
Linearization of constitutive equations
(76)
Linearization of weak form
(78)
Finite element formulation
(80)
Constitutive modeling: small deformation regime
(82)
Introduction
(82)
Some models available in the literature
(83)
Model proposed by Souza98
(83)
Model proposed by Panico2007
(86)
A basic model extracted from Panico-Brinson model
(88)
A modified Panico-Brinson model
(88)
Model proposed by Lagoudas2008
(89)
Proposing a class of SMA constitutive models
(90)
Constitutive model development
(92)
Identification and comparison of some models in terms of formulation
(98)
Comparison of models in terms of numerical results
(101)
Uniaxial tests
(102)
Multiaxial proportional tests
(103)
Multiaxial non-proportional tests
(104)
Summary
(111)
Constitutive modeling: finite deformation regime
(113)
Introduction
(113)
Literature review: finite strain SMA constitutive models
(114)
Kinematics description
(115)
Finite strain extension of Panico and Brinson model
(116)
Representation with respect to the reference configuration
(120)
Linearization of the finite deformation SMA model
(123)
Finite strain extension of Souza model
(124)
Representation with respect to the reference configuration.
(127)
A singularity-free, continuous definition of the model
(127)
An approach to fully symmetrize constitutive models
(129)
A kinematic hardening model based on Hencky strain
(130)
Motivation
(130)
Constitutive model development
(132)
Representation with respect to the reference configuration
(138)
Proposing a Hencky-based SMA constitutive model
(141)
Extension into large rotation, small strain regime
(145)
Introduction
(145)
Kinematics description
(145)
Extension of Souza model to large rotation regime: Lagrangian formulation
(146)
Extension of Souza model to large rotation regime: Eulerian formulation
(147)
Summary
(148)
Numerical implementation: time-discretization and solution algorithms
(157)
Introduction
(157)
Numerical implementation of GLUS model
(158)
Time integration.
(159)
Solution algorithm.
(160)
Considerations on nucleation-completion condition.
(161)
Consistent tangent matrix.
(164)
Numerical implementation of GLSY model
(166)
Numerical implementation of HSGF model
(168)
Time integration.
(168)
Numerical implementation of HSSY model
(169)
Solution algorithm.
(169)
Considerations on nucleation-completion condition.
(170)
Consistent tangent matrix.
(171)
Numerical implementation of SSSR model
(172)
Consistent tangent matrix.
(173)
Numerical implementation of SSLR model
(174)
Method 1: Time-discretization based on Lagrangian formulation
(174)
Method 2: Time-discretization based on Eulerian formulation
(175)
Summary
(177)
Numerical examples and simulation of SMA-based applications
(179)
Introduction
(179)
Robustness study of different integration algorithms for GLUS model
(179)
Numerical examples: Gauss point level investigations
(179)
Numerical examples: Boundary value problems
(186)
Investigation of computational efficiency
(189)
Comparison of GLUS and GLSY models in terms of computational efficiency
(191)
Simulation of some BVPs using HSSY formulation
(192)
Uniaxial test
(192)
Pseudo-elastic stent
(192)
Spring actuator
(193)
Comparison of SSSR, SSLR and GLUS models
(195)
Simple tension test
(196)
Bending of a straight beam
(196)
Out-of-plane bending of a curved beam
(196)
Simulation of SMA-based devices: an SMA micro-gripper
(198)
Summary
(202)
Summary and conclusions
(203)
Summary
(203)
Conclusions
(204)
Future research directions
(207)
References
(207)
Appendices
(224)
Model derivation considering bold0mu mumu CCanchorcolorCCCC as control variable
(225)
Details of derivations for Hencky-based model
(227)
Linearization of the asymmetric finite strain Souza model
(229)
Publications
(231)
