كتاب The Finite Element Method Volume 1 - The Basis
منتدى هندسة الإنتاج والتصميم الميكانيكى
بسم الله الرحمن الرحيم

أهلا وسهلاً بك زائرنا الكريم
نتمنى أن تقضوا معنا أفضل الأوقات
وتسعدونا بالأراء والمساهمات
إذا كنت أحد أعضائنا يرجى تسجيل الدخول
أو وإذا كانت هذة زيارتك الأولى للمنتدى فنتشرف بإنضمامك لأسرتنا
وهذا شرح لطريقة التسجيل فى المنتدى بالفيديو :
https://www.youtube.com/watch?v=aw8GR3QlY6M
وشرح لطريقة التنزيل من المنتدى بالفيديو:
https://www.youtube.com/watch?v=Lf2hNxCN1cw
https://www.youtube.com/watch?v=PRIGVoN7CPY
إذا واجهتك مشاكل فى التسجيل أو تفعيل حسابك
وإذا نسيت بيانات الدخول للمنتدى
يرجى مراسلتنا على البريد الإلكترونى التالى :

DEABS2010@YAHOO.COM


 
الرئيسيةالبوابةاليوميةس .و .جبحـثالتسجيلدخولحملة فيد واستفيدجروب المنتدى
آخر المواضيع
الموضوع
تاريخ ارسال المشاركة
بواسطة
4 اسطوانات لتعليم عمليات الخراطة
solidplant 3d for solidworks
محاضرات عن نظريه الات
كورس تعليم برنامج Autodesk Inventor بالعربى
40 محاضرة فيديو عن Strength of Materials
مجموعة محاضرات عن العناصر المحددة باللغة العربية - (FEM) Arabic Lectures
37 محاضرة فيديو عن Engineering Mechanics
كتاب Theory of Machines and Mechanism - Joseph Edward
ارجو المساعدة , مشكلة في تنصيب برنامج Ansys
السلام عليكم ورحمته الله وبركاته
أمس في 9:50 am
السبت 03 ديسمبر 2016, 7:45 pm
الجمعة 02 ديسمبر 2016, 9:07 pm
الجمعة 02 ديسمبر 2016, 6:57 pm
الجمعة 02 ديسمبر 2016, 12:48 am
الجمعة 02 ديسمبر 2016, 12:46 am
الجمعة 02 ديسمبر 2016, 12:30 am
الجمعة 02 ديسمبر 2016, 12:20 am
السبت 26 نوفمبر 2016, 3:57 am
الجمعة 25 نوفمبر 2016, 3:47 am
محمد العوض العباس
elbrolosy
saded
salr78
مصطفى العلواني
مصطفى العلواني
مصطفى العلواني
مصطفى العلواني
wadhahaldoori
احمد اللحجي
شاطر | .
 

 كتاب The Finite Element Method Volume 1 - The Basis

استعرض الموضوع السابق استعرض الموضوع التالي اذهب الى الأسفل 
كاتب الموضوعرسالة
Admin
مدير المنتدى
مدير المنتدى


عدد المساهمات : 14261
التقييم : 22948
تاريخ التسجيل : 01/07/2009
العمر : 28
الدولة : مصر
العمل : مدير منتدى هندسة الإنتاج والتصميم الميكانيكى
الجامعة : المنوفية

مُساهمةموضوع: كتاب The Finite Element Method Volume 1 - The Basis   السبت 07 يوليو 2012, 11:36 pm

أخوانى فى الله
أحضرت لكم كتاب

The Finite Element Method Volume 1 - The Basis
Fifth edition

ويتناول الموضوعات الأتية :

1. Some preliminaries: the standard discrete system
1.1
1.4 The boundary conditions
1.5 Electrical and fluid networks
1.6 The general pattern
1.7 The standard discrete system
1.8 Transformation of coordinates
The structural element and the structural system
Assembly and analysis of a structure
References
2. A direct approach to problems in elasticity
2.1 Introduction
2.5 Convergence criteria
2.9 Direct minimization
2.10 An example
2.1 1 Concluding remarks
Direct formulation of finite element characteristics
Generalization to the whole region
Displacement approach as a minimization of total potential energy
Discretization error and convergence rate
Displacement functions with discontinuity between elements
Bound on strain energy in a displacement formulation
References
3. Generalization of the finite element concepts. Galerkin-weighted residual
and variational approaches
3.1 Introduction
3.2 Integral or ‘weak’ statements equivalent to the differential equations 42
3.3 Approximation to integral formulations 46
3.4 Virtual work as the ‘weak form’ of equilibrium equations for
analysis of solids or fluids
Partial discretization
Convergence
What are ‘variational principles’?
‘Natural’ variational principles and their relation to governing
differential equations
Establishment of natural variational principles for linear,
self-adjoint differential equations
Maximum, minimum, or a saddle point?
Constrained variational principles. Lagrange multipliers and
adjoint functions
Constrained variational principles. Penalty functions and the least
square method
Concluding remarks
References
4. Plane stress and plane strain
4.1 Introduction
4.2 Element characteristics
4.4 Some practical applications
4.6 Concluding remark
Examples - an assessment of performance
Special treatment of plane strain with an incompressible material
References
5. Axisymmetric stress analysis
5.1 Introduction
5.2 Element characteristics
5.3 Some illustrative examples
5.4 Early practical applications
5.5 Non-symmetrical loading
5.6 Axisymmetry - plane strain and plane stress
References
6. Three-dimensional stress analysis
6.1 Introduction
6.2 Tetrahedral element characteristics
6.4 Examples and concluding remarks
Composite elements with eight nodes
References
7. Steady-state field problems - heat conduction, electric and magnetic
potential, fluid flow, etc.
7.1 Introduction
7.2 The general quasi-harmonic equation
7.3 Finite element discretization
7.4 Some economic specializations
7.6 Some practical applications
Examples - an assessment of accuracy
8. ‘Standard’ and ‘hierarchical’ element shape functions: some general
families of C, continuity
Introduction
Standard and hierarchical concepts
Rectangular elements - some preliminary considerations
Completeness of polynomials
Rectangular elements - Lagrange family
Rectangular elements - ‘serendipity’ family
Elimination of internal variables before assembly - substructures
Triangular element family
Line elements
Rectangular prisms - Lagrange family
Rectangular prisms - ‘serendipity’ family
Tetrahedral elements
Other simple three-dimensional elements
Hierarchic polynomials in one dimension
Two- and three-dimensional, hierarchic, elements of the ‘rectangle’
or ‘brick’ type
Triangle and tetrahedron family
Global and local finite element approximation
Improvement of conditioning with hierarchic forms
Concluding remarks
References
9. Mapped elements and numerical integration - ‘infinite’ and ‘singularity’
elements
Introduction
Use of ‘shape functions’ in the establishment of coordinate
transformations
Geometrical conformability of elements
Variation of the unknown function within distorted, curvilinear
elements. Continuity requirements
Evaluation of element matrices (transformation in E, r], C
coordinates)
Element matrices. Area and volume coordinates
Convergence of elements in curvilinear coordinates
Numerical integration - one-dimensional
Numerical integration - rectangular (2D) or right prism (3D)
regions
Numerical integration - triangular or tetrahedral regions
Required order of numerical integration
Generation of finite element meshes by mapping. Blending functions
Infinite domains and infinite elements
Singular elements by mapping for fracture mechanics, etc.
9.17 Three-dimensional stress analysis
9.18 Symmetry and repeatability
A computational advantage of numerically integrated finite
elements
Some practical examples of two-dimensional stress analysis
References
10. The patch test, reduced integration, and non-conforming elements
10.1 Introduction
10.2 Convergence requirements
10.3 The simple patch test (tests A and B) - a necessary condition for
convergence
10.4 Generalized patch test (test C) and the single-element test
10.5 The generality of a numerical patch test
10.6 Higher order patch tests
10.7 Application of the patch test to plane elasticity elements with
‘standard’ and ‘reduced’ quadrature
10.8 Application of the patch test to an incompatible element
10.9 Generation of incompatible shape functions which satisfy the
patch test
10.10 The weak patch test - example
10.11 Higher order patch test - assessment of robustness
10.12 Conclusion
References
11. Mixed formulation and constraints- complete field methods
1 1.1 Introduction
11.2 Discretization of mixed forms - some general remarks
11.3 Stability of mixed approximation. The patch test
1 1.4 Two-field mixed formulation in elasticity
1 1.5 Three-field mixed formulations in elasticity
1 1.6 An iterative method solution of mixed approximations
1 1.7 Complementary forms with direct constraint
1 1.8 Concluding remarks - mixed formulation or a test of element
‘robustness’
References
12. Incompressible materials, mixed methods and other procedures of
solution
12.1 Introduction
12.2 Deviatoric stress and strain, pressure and volume change
12.3 Two-field incompressible elasticity (u-p form)
12.4 Three-field nearly incompressible elasticity (u-p-~, form)
12.5 Reduced and selective integration and its equivalence to penalized
mixed problems
12.6 A simple iterative solution process for mixed problems: Uzawa method
12.8 Concluding remarks
Stabilized methods for some mixed elements failing the
incompressibility patch test
References
13. Mixed formulation and constraints - incomplete (hybrid) field methods,
boundary/Trefftz methods
13.1 General
13.2 Interface traction link of two (or more) irreducible form
subdomains
13.3 Interface traction link of two or more mixed form subdomains
13.4 Interface displacement ‘frame’
13.5 Linking of boundary (or Trefftz)-type solution by the ‘frame’ of
specified displacements
13.6 Subdomains with ‘standard’ elements and global functions
13.7 Lagrange variables or discontinuous Galerkin methods?
13.8 Concluding remarks
References
14. Errors, recovery processes and error estimates
14.1 Definition of errors
14.6 Error estimates by recovery
Superconvergence and optimal sampling points
Recovery of gradients and stresses
Superconvergent patch recovery - SPR
Recovery by equilibration of patches - REP
Other error estimators - residual based methods
Asymptotic behaviour and robustness of error estimators - the
BabuSka patch test
Which errors should concern us?
References
15. Adaptive finite element refinement
15.1 Introduction
15.3 p-refinement and hp-refinement
15.4 Concluding remarks
Some examples of adaptive h-refinement
References
16. Point-based approximations; element-free Galerkin - and other
meshless methods
16.1 Introduction
16.2 Function approximation
16.3 Moving least square approximations - restoration of continuity
of approximation
16.4 Hierarchical enhancement of moving least square expansions
16.5 Point coliocation - finite point methods
6.6
6.7
6.8 Closure
Galerkin weighting and finite volume methods
Use of hierarchic and special functions based on standard finite
elements satisfying the partition of unity 'requirement
References
The time dimension - semi-discretization of field and dynamic problems
and analytical solution procedures
17.1 Introduction
17.2 Direct formulation of time-dependent problems with spatial finite
element subdivision
17.3 General classification
17.4 Free response - eigenvalues for second-order problems and
dynamic vibration
17.5 Free response - eigenvalues for first-order problems and heat
conduction, etc.
17.6 Free response - damped dynamic eigenvalues
17.7 Forced periodic response
17.8 Transient response by analytical procedures
17.9 Symmetry and repeatability
References
18. The time dimension - discrete approximation in time
18.1 Introduction
18.4 Multistep recurrence algorithms
18.6 Time discontinuous Galerkin approximation
18.7 Concluding remarks
Simple time-step algorithms for the first-order equation
General single-step algorithms for first- and second-order equations
Some remarks on general performance of numerical algorithms
References
19. Coupled systems
19.1 Coupled problems - definition and classification
19.2 Fluid-structure interaction (Class I problem)
19.3 Soil-pore fluid interaction (Class I1 problems)
19.4 Partitioned single-phase systems - implicit-explicit partitions
(Class I problems)
19.5 Staggered solution processes
References
20. Computer procedures for finite element analysis
20.1 Introduction
20.2 Data input module
Memory management for array storage
Solution module - the command programming language
20.5 Computation of finite element solution modules
20.6 Solution of simultaneous linear algebraic equations
20.7 Extension and modification of computer program FEAPpv
References
Appendix A: Matrix algebra
Appendix B: Tensor-indicia1 notation in the approximation of elasticity
Appendix C: Basic equations of displacement analysis
Appendix D: Some integration formulae for a triangle
Appendix E: Some integration formulae for a tetrahedron
Appendix F: Some vector algebra
Appendix G: Integration by parts in two and three dimensions
(Green’s theorem)
Appendix H: Solutions exact at nodes
Appendix I: Matrix diagonalization or lumping
Author index
Subject index

أتمنى أن تستفيدوا منه وأن ينال إعجابكم



شارك معنا فى حملة فيد وإستفيد
شارك معنا فى المسابقة الهندسية الشهرية
كيفية التسجيل فى منتدى هندسة الإنتاج والتصميم الميكانيكى


*****************************************************************************************


عدل سابقا من قبل أحمد دعبس في الأحد 21 أكتوبر 2012, 4:11 am عدل 1 مرات
الرجوع الى أعلى الصفحة اذهب الى الأسفل
العراقي الشريف
مهندس تحت الاختبار
مهندس تحت الاختبار


عدد المساهمات : 1
التقييم : 1
تاريخ التسجيل : 20/10/2012
العمر : 29
الدولة : العراق
العمل : مهندس مدني
الجامعة : جامعه دريسدن التقنيه

مُساهمةموضوع: رد: كتاب The Finite Element Method Volume 1 - The Basis   السبت 20 أكتوبر 2012, 11:42 pm

السلام عليكم اخي الرابط لا يعمل

الرجوع الى أعلى الصفحة اذهب الى الأسفل
Admin
مدير المنتدى
مدير المنتدى


عدد المساهمات : 14261
التقييم : 22948
تاريخ التسجيل : 01/07/2009
العمر : 28
الدولة : مصر
العمل : مدير منتدى هندسة الإنتاج والتصميم الميكانيكى
الجامعة : المنوفية

مُساهمةموضوع: رد: كتاب The Finite Element Method Volume 1 - The Basis   الأحد 21 أكتوبر 2012, 4:13 am

@العراقي الشريف كتب:
السلام عليكم اخي الرابط لا يعمل


وعليكم السلام ورحمة الله وبركاته
تم تعديل الرابط

الرجوع الى أعلى الصفحة اذهب الى الأسفل
 

كتاب The Finite Element Method Volume 1 - The Basis

استعرض الموضوع السابق استعرض الموضوع التالي الرجوع الى أعلى الصفحة 
صفحة 2 من اصل 1

خدمات الموضوع
 KonuEtiketleri كلمات دليليه
كتاب The Finite Element Method Volume 1 - The Basis , كتاب The Finite Element Method Volume 1 - The Basis , كتاب The Finite Element Method Volume 1 - The Basis ,كتاب The Finite Element Method Volume 1 - The Basis ,كتاب The Finite Element Method Volume 1 - The Basis , كتاب The Finite Element Method Volume 1 - The Basis
 KonuLinki رابط الموضوع
 Konu BBCode BBCode
 KonuHTML Kodu HTMLcode
إذا وجدت وصلات لاتعملفي الموضوع او أن الموضوع [ كتاب The Finite Element Method Volume 1 - The Basis ] مخالف ,, من فضلك راسل الإدارة من هنا
صلاحيات هذا المنتدى:لاتستطيع الرد على المواضيع في هذا المنتدى
منتدى هندسة الإنتاج والتصميم الميكانيكى :: المنتديات الهندسية :: منتدى الكتب والمحاضرات الهندسية :: منتدى الكتب والمحاضرات الهندسية الأجنبية-