VAHID LOTFI - Amirkabir University of Technology

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Amirkabir University of Technology

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VAHID LOTFI

Professor
Department of Civil and Environmental Engineering
Structural and Earthquake Engineering

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vahlotfi

aut.ac.ir

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h-index (Scopus):

20.00

Citations (Scopus):

1310

Supervised PhD Theses

Thesis title

Date

Dynamic analysis of concrete gravity dam based on mixed high order-wave number method for dam-reservoir interaction

SOLMAZ DEHGHANMARVASTY

2024 Jan

Dynamic analysis of concrete gravity dams by perfectly matched layers

ADIB KHAZAEE

2015 Jan

Development and Comparison of Efficient Methods for Linear Dynamic Analysis of Concrete Dams

SEYYED ASGHAR ARJMANDI

2011 Oct

an investigation on nonlinear seismic response of concrete arch dams by plastic-damage model including water compressibility effects

OMID OMIDI

2010 Sep

an effective method for dynamic analysis of concrete arch dams

AHMAD AFTABI SANI

2007 Aug

Dynamic analysis of concrete dams with combination of finite element and boundary element methods

MOHAMMAD REZA SHARGHI

2003 Jun

Evaluation of nonlinear seismic behavior of concrete arch dams using anisotropic damage plasticity model considering contraction joints

ALI AKBAR JAHANITABAR

2025 Jan

Supervised MSc Theses

Thesis title

Date

Nonlinear dynamic analysis of concrete gravity dams including base sliding and foundation mass

AMIN SHIEH NEZHAD

2022 Feb

Improvement of the classical theory of fracture mechanics based on the theory of material instability to enable accurate simulation of cracks in graphene

MOHAMMAD MADADI &
Other Supervisor:

2021 Sep

Development of continuum fracture models for 2D nanomaterials to study their reinforcing effects as an additive in concrete

BABAK MOSAVI &
Other Supervisor:

2021 May

Nonlinear dynamic analysis of concrete arch dams by damage mechanic model

SEYED ALIREZA HASHEMPOUR

2020 Oct

Nonlinear dynamic analysis of concrete gravity dams by damage mechanics model

REZA AKBARI

2020 Feb

Dynamic analysis of concrete dam , foundation rock and reservoir using parallel processing

AMIN FARMAHINI FARAHANI

2019 Sep

Seismic Analysis of Arch Dam-Reservoir-Foundation Rock System Using Modal Method in Time Domain

REZA FARZAD

2019 Mar

Dynamic analysis of concrete gravity dams including dam-reservoir-foundation rock interaction by modal method in time domain

MOHAMMAD AMIN HAGHIGHI

2019 Mar

Dynamic Analysis of Concrete Gravity Dams by Approximate Truncation Boundary Conditions in Time Domain

HAMID TAGHAVI GANJI

2016 Feb

Dynamic Analysis of Concrete Arch Dams by Approximate Truncation Boundary Conditions in Time Domain

YADOLLAH YAZDANI

2016 Feb

dynamic analysis of concrete arch dams by upstream approximate B.C of reservoir in frequency domain

JAVAD AMANABADI

2015 Feb

Dynamic analysis of concrete gravity dams using approximate boundary conditions in the frequency domain

SEYED IMAN ZARE ESTAKHRAJI

2015 Jan

Dynamic Analysis Of Concrete Gravity Dams By Simplified Dam-Reservoir Interaction Approach

MEHRAN JAFARI

2014 Feb

Dynamic Analysis of Concrete Arch Dams in Time Domain by Finite Element Method Considering Dam-Reservoir-Foundation Interaction

MOHAMAD MOHSEN ZADEKAMAND

2011 Oct

Dynamic Analysis of Concrete Arch Dams on Flexible Foundation Rock Using Finite Elements Method and Modified Efficient Fluid Hyper-Element in Frequency Domain

GOLAREH BAYATI

2011 Oct

Dynamic Analysis of Concrete Gravity Dam-Reservoir-Foundation Rock System by Finite Elements Method in Time Domain

KIYUMARS SAHEBKAR

2011 Oct

Dynamic analysis of concrete gravity dams on flexible foundation rock using finite elements method

AZAMSADAT AHSAN ESFAHANI

2011 Jul

Application of F.E.M. in Dynamic Analysis of Concrete Gravity Dams on Flexible Foundation Rock in Frequency Domain

MOHAMMAD REZA HAJIABADI

2010 Feb

Dynamic Interaction of Concrete Arch Dams and Foundation Rock by Finite Element Method in Frequency Domain

HAMID REZA KAZEMI NIA KORRANI

2010 Feb

Dynamic analysis of concrete gravity dams by utilizing efficient fluid hyper-element in frequency domain

MARYAM HOJATI

2008 Nov

DYNAMIC ANALYSIS OF CONCRETE ARCH DAMS BY COUPLED MODAL METHOD IN TIME DOMAIN

AMIRHOSSEIN KEIVANI

2007 Nov

STRESS AND FAILURE ANALYSIS OF PIN-LOADED HOLE ANISOTROIC PLATE UNDER IN PLANE LOADING

MOHAMMAD GHOLAMI & MOHAMMAD ZAMAN KABIR
Other Supervisor:

2007 Sep

Journal Papers

V. Lotfi, A. Shieh Nezhad, "Nonlinear dynamic analysis of concrete gravity dam-water-foundation rock systems utilizing a simplified non-associated elasto-plastic joint model", Geomechanics and Engineering, 2025 Feb vol. 40, no. 3, pp.165-182, 2025.

V. Lotfi, S. Dehghanmarvasty, "Application of mixed high order-Wavenumber approach in dynamic analysis of Pine Flat dam-reservoir system", Coupled Systems Mechanics, 2025 Feb vol. 14, no. 1, pp.57-86, 2025.

V. Lotfi, A.A. Jahanitabar, "Seismic resistance of concrete arch dams including contraction joints based on damage plasticity model", Multidiscipline Modeling In Materials and Structures, 2025 Jan vol. 0, no. 0, pp.1-29, 2025.

A.A. Jahanitabar, V. Lotfi, "Formulation and verification of an anisotropic damage plasticity constitutive model for plain concrete", International Journal of Damage Mechanics, 2024 Nov vol. 0, no. 0, pp.1-35, 2024.

V. Lotfi, A.A. Jahanitabar, "Application of single surface isotropic damage plasticity model in nonlinear dynamic analysis of Koyna dam", Engineering Computations, 2024 Jul vol. 41, no. 6, pp.1602-1622, 2024.

A.A. Jahanitabar, V. Lotfi, "Formulation and efficient implementation of coupled anisotropic damage-plasticity model for plain concrete", Acta Mechanica, 2024 May vol. 235, no. 7, pp.4575-4605, 2024.

B. Mosavi, Mahdi Akhtarian, , V. Lotfi, "Effects of graphene-oxide and nanosilica on the wear resistance and strength of self-consolidating high-strength cement mortar", Advances In Materials and Processing Technologies, 2024 Jan vol. 10, no. 1, pp.1-15, 2024.

V. Lotfi, H. Abdorazaghi, "Dynamic analysis of Pine Flat dam-water-foundation rock system utilizing the H-W truncation boundary condition", Engineering Computations, 2024 Jan vol. 0, no. 0, , 2024.

V. Lotfi, S. Dehghanmarvasty, "Time harmonic analysis of concrete gravity dam-reservoir systems by mixed High order-Wavenumber approach for general reservoir bottom condition", Structures, 2023 Sep vol. 55, no. 1, pp.1906-1919, 2023.

R. Akbari, S.A. Hashempour, V. Lotfi, "Non-Linear Seismic Evaluation of Concrete Dams Utilizing a Simplified Isotropic Damage Model", Dam Engineering, 2023 Sep vol. 33, no. 1, pp.1-25, 2023.

S. Dehghanmarvasty, V. Lotfi, "Dynamic analysis of Pine Flat dam-reservoir system utilizing Hagstrom-Warburton truncation boundary condition", Coupled Systems Mechanics, 2023 Aug vol. 12, no. 4, pp.365-389, 2023.

S. Dehghanmarvasty, V. Lotfi, "Application of G-N high-order boundary condition on time harmonic analysis of concrete gravity dam-reservoir systems", Engineering Computations, 2023 Feb vol. 0, no. 0, pp.1-22, 2023.

S.A. Hashempour, R. Akbari, V. Lotfi, "A simplified continuum damage model for nonlinear seismic analysis of concrete arch dams using different damping algorithms", Civil Engineering Infrastructures Journal, 2023 Jan vol. 0, no. 0, pp.1-32, 2023.

V. Lotfi, Gerald Zenz, "Application of Wavenumber-TD Approach for Transient Analysis of Concrete Arch Dam-Reservoir Systems", Dam Engineering, 2022 Dec vol. 31, no. 3, pp.167-188, 2022.

R. Akbari, V. Lotfi, "Nonlinear dynamic analysis of concrete gravity dams utilizing a simplifed continuum damage model and diferent damping algorithms", Asian Journal of Civil Engineering (Building and Housing, 2022 Oct vol. 24, no. 2, pp.453-468, 2022.

B. Mosavi, , V. Lotfi, "A computational investigation of applicability of nonlinear fracture mechanics in nano-scale fracture of graphene", Materials Today Communications, 2022 May vol. 31, no. 1, pp.103687-103687, 2022.

V. Lotfi, Ali Lotfi, "Time harmonic analysis of concrete arch dam-reservoir systems by utilizing GN high-order truncation condition", Scientia Iranica, 2022 Mar vol. 0, no. 0, pp.1-30, 2022.

R. Farzad, V. Lotfi, "Modal Analysis of Concrete Arch Dam-Reservoir-Massed Foundation System in Frequency Domain", Proceedings of The Institution of Civil Engineers-Structures and Buildings, 2021 Feb vol. 0, no. 0, pp.1-13, 2021.

V. Lotfi, Ali Lotfi, "Application of Hagstrom-Warburton high-order truncation boundary condition on time harmonic analysis of concrete arch dam-reservoir systems", Engineering Computations, 2021 Feb vol. 0, no. 0, pp.1-25, 2021.

A. Hosseinzadeh, A. Soroush, V. Lotfi, M. Nobari Nasab, "Three Dimensional Seepage Analysis in Foundation and Abutments of Karun III Concrete Arch Dam", Dam Engineering, 2020 Aug vol. XXXI, no. 1, pp.25-42, 2020.

V. Lotfi, Gerald Zenz, "Time harmonic analysis of concrete gravity dam-reservoir systems by Wavenumber-TD approach", Dam Engineering, 2019 Dec vol. 30, no. 2, pp.41-63, 2019.

H. Taghavi Ganji, V. Lotfi, "Transient analysis of concrete gravity dams by Wavenumber-TD method for general excitation", Proceedings of The Institution of Civil Engineers-Structures and Buildings, 2019 Nov vol. 0, no. 0, pp.1-17, 2019.

V. Lotfi, Ahmad Aftabi Sani, "Calculation of coupled modes of fluid-structure systems by pseudo symmetric subspace iteration method", Scientia Iranica, 2019 Sep vol. 26, no. 4, pp.2100-2107, 2019.

M. Jafari, V. Lotfi, "Dynamic analysis of concrete gravity dam-reservoir systems by Wavenumber approach for the general reservoir base condition", Scientia Iranica, 2018 Dec vol. 25, no. 6, pp.3054-3065, 2018.

H. Taghavi Ganji, V. Lotfi, "Time harmonic analysis of a gravity dam-reservoir system using Wavenumber-TD approach for general ground excitation", Dam Engineering, 2018 Dec vol. 29, no. 1, pp.1-23, 2018.

V. Lotfi, Gerald Zenz, "Application of Wavenumber-TD approach for time harmonic analysis of concrete arch dam-reservoir systems", Coupled Systems Mechanics, 2018 Jun vol. 7, no. 3, pp.353-371, 2018.

Saeed Haji Ghasemali, A. Ramezanianpor, V. Lotfi, Mohammadhosein Kashefizadeh, "Investigation of the effect of Alkalai-Silica Reaction on the Structural Behavior of Reinforced Concrete Beams Using the Finite Element Method", Amirkabir Journal of Civil Engineering, 2017 May vol. 49, no. 1, pp.23-33, 2017.

V. Lotfi, "Dynamic analysis of concrete gravity dam-reservoir systems by Wavenumber approach for the general reservoir base condition and ground excitation", Dam Engineering, 2017 May vol. 27, no. 3, pp.33-57, 2017.

Omid Omidi, V. Lotfi, "Seismic plastic-damage analysis of mass concrete blocks in arch dams including contraction and peripheral joints", Soil Dynamics and Earthquake Engineering, 2017 Apr vol. 95, no. 0, pp.118-137, 2017.

Omid Omidi, V. Lotfi, "A symmetric implementation of pressure-based fluid-structure interaction for nonlinear seismic analysis of arch dams", Journal of Fluids and Structures, 2017 Feb vol. 69, no. 0, pp.34-55, 2017.

V. Lotfi, Gerald Zenz, "Transient analysis of concrete gravity dam-reservoir systems by Wavenumber-TD approach", Soil Dynamics and Earthquake Engineering, 2016 Oct vol. 90, no. 1, pp.313-326, 2016.

S.I. Zare Estakhraji, V. Lotfi, "Dynamic analysis of concrete gravity dam-reservoir systems by approximate wavenumber approach", Engineering Computations, 2016 Oct vol. 33, no. 7, pp.2045-2066, 2016.

A. Khazaee, V. Lotfi, "A new technique for determining coupled modes of structure-acoustic systems", Archive of Applied Mechanics, 2015 Jul vol. 85, no. 7, pp.955-967, 2015.

A. Khazaee, V. Lotfi, "Time harmonic analysis of dam-foundation systems by perfectly matched layers", Structural Engineering and Mechanics, 2014 May vol. 50, no. 3, pp.349-364, 2014.

A. Khazaee, V. Lotfi, "Application of perfectly matched layers in the transient analysis of dam-reservoir systems", Soil Dynamics and Earthquake Engineering, 2014 Apr vol. 60, no. 1, pp.51-68, 2014.

O. Omidi, V. Lotfi, "Earthquake response of concrete dams: a plastic-damage approach", Earthquake Engineering and Structural Dynamics, 2013 Jul vol. 42, no. 14, pp.2129-2149, 2013.

Seyed Asghar Arjmandi, V. Lotfi, "Comparison of three efficient methods for computing mode shapes of fluid-structure interaction systems", Arabian Journal For Science and Engineering, 2013 Apr vol. 38, no. 4, pp.787-803, 2013.

A. Samii, V. Lotfi, "A high-order based boundary condition for dynamic analysis of infinite reservoirs", Computers and Structures, 2013 Apr vol. 120, no. 1, pp.65-76, 2013.

O. Omidi, Somasundaram Valliappan, V. Lotfi, "Seismic cracking of concrete gravity dams by plastic-damage model using different damping mechanisms", Finite Elements In Analysis and Design, 2013 Jan vol. 63, no. 1, pp.80-97, 2013.

A. Keivani, V. Lotfi, "An effective method for eigen-problem solution of fluid-structure systems", Computational Methods In Civil Engineering(Cmce), 2012 Nov vol. 3, no. 2, pp.1-14, 2012.

O. Omidi, V. Lotfi, "Continuum large cracking in a rate-dependent plastic-damage model for cyclic-loaded concrete structures", International Journal For Numerical and Analytical Methods In Geomechanics, 2012 Oct vol. -, no. 0, , 2012.

A. Hiseinzadeh, M. Nobari Nasab, A. Soroush, V. Lotfi, "Coupled stress-seepage analysis of KARUN III concrete arch dam", Proceedings of The Institution of Civil Engineers-Geotechnical Engineering, 2012 Jul vol. 1, no. 1, pp.1-19, 2012.

M.R. Hajiabadi, V. Lotfi, "An effective approach for utilizing damping solvent extraction method in frequency domain", Soil Dynamics and Earthquake Engineering, 2012 Jul vol. 38, no. 1, pp.46-57, 2012.

V. Lotfi, O. Omidi, "Dynamic analysis of Koyna dam using three-dimensional plastic-damage modeling", Dam Engineering, 2012 Jun vol. 22, no. 3, pp.197-226, 2012.

V. Lotfi, A. Samii, "Dynamic analysis of concrete gravity dam-reservoir systems by wavenumber approach in the frequency domain", Earthquakes and Structures, 2012 Jun vol. 3, no. 3, pp.533-548, 2012.

A. Samii, V. Lotfi, "High-order adjustable boundary condition for absorbing evanescent modes of waveguides and its application in coupled fluid-structure analysis", Wave Motion, 2012 Mar vol. 49, no. 2, pp.238-257, 2012.

A. Samii, V. Lotfi, "Application of the H-W boundary condition in dam-reservoir interaction problem", Finite Elements In Analysis and Design, 2012 Mar vol. 50, no. 1, pp.86-97, 2012.

H.R. Kazemi Nia Korrani, V. Lotfi, "An investigation on dynamic interaction of concrete arch dams and foundation rock in frequency domain", , 2011 Dec vol. دوره 45, no. 5, pp.577-589, 2011.

S.A. Arjmandi, V. Lotfi, "Computing mode shapes of fluid-structure systems using subspace iteration methods", Scientia Iranica, 2011 Dec vol. 18, no. 6, pp.1159-1169, 2011.

M. Hojati, V. Lotfi, "Dynamic analysis of concrete gravity dams utilizing two-dimensional modified efficient fluid hyper-element", Advances In Structural Engineering, 2011 Oct vol. 14, no. 6, pp.1093-1106, 2011.

Ahmad Aftabi Sani, V. Lotfi, "An effective procedure for seismic analysis of arch dams including dam-reservoir-foundation interaction effects", Journal of Earthquake Engineering, 2011 Sep vol. 15, no. 7, pp.971-988, 2011.

S.A. Arjmandi, V. Lotfi, "Dynamic analysis of structures in frequency domain by a new set of Ritz vectors", Structural Engineering and Mechanics, 2011 Sep vol. 39, no. 5, pp.703-716, 2011.

A. Fathi, V. Lotfi, "Effects of reservoir length and rigorous fluid-foundation interaction on the frequency response functions of concrete gravity dams", Dam Engineering, 2011 Jan vol. 21, no. 3, pp.213-233, 2011.

A. Samii, V. Lotfi, "Comparison of coupled and decoupled modal approaches in seismic analysis of concrete gravity dams in time domain", , 2010 Nov vol. 42, no. 2, pp.37-47, 2010.

A. Hiseinzadeh, M. Nobari Nasab, V. Lotfi, A. Soroush, "Effects of foundation rock nonlinear models on analysis of Karun III concrete arch dam", , 2010 Sep vol. 44, no. 3, pp.351-363, 2010.

M. Hojati, V. Lotfi, "Dynamic analysis of gravity dams by employing efficient fluid hyper-element", , 2010 Sep vol. 42, no. 1, pp.31-40, 2010.

O. Omidi, V. Lotfi, "Finite element analysis of concrete structures using plastic damage model in 3-D implementation", International Journal of Civil Engineering, 2010 Sep vol. 8, no. 3, pp.187-203, 2010.

O. Omidi, V. Lotfi, "Numerical analysis of cyclically loaded concrete under large tensile strains by the plastic-damage model", Scientia Iranica, 2010 Jun vol. 17, no. 3, pp.194-208, 2010.

A. Aftabi Sani, V. Lotfi, "Dynamic analysis of concrete arch dams by ideal-coupled modal approach", Engineering Structures, 2010 May vol. 32, no. 5, pp.1377-1383, 2010.

H. Arabshahi, V. Lotfi, "Nonlinear Dynamic Analysis of arch dams with Joint Sliding Mechanism", Engineering Computations, 2009 May vol. , no. 5, , 2009.

S.A. Arjmandi, V. Lotfi, "An investigation on the accuracy of the sommerfeld B.C. in dynamic analysis of concrete gravity dams", International Journal of Science & Technology (Amirkabir), 2008 Nov vol. 19, no. 69, pp.29-37, 2008.

H. Arabshahi, V. Lotfi, "Earthquake response of concrete gravity dams including dam-foundation interface nonlinearities", Engineering Structures, 2008 Nov vol. , no. 30, , 2008.

V. Lotfi, "Linear Dynamic Analysis of Arch Dams Utilizing Modified Efficient Fluid Hyper -Element", Engineering Structures, 2007 Oct vol. , no. 29, , 2007.

A. Samii, V. Lotfi, "Comparison of coupled and decoupled modal approaches in seismic analysis of concrete gravity dams in time domain", Finite Elements In Analysis and Design, 2007 Sep vol. , no. 43, , 2007.

V. Lotfi, "An Efficient three-dimensional fluid hyper-element for dynamic analysis of concrete arch dams", Structural Engineering and Mechanics, 2006 Dec vol. , no. 6, , 2006.

V. Lotfi, "frequency domain analysis of concrete arch dams by decoupled modal approach", Structural Engineering and Mechanics, 2005 Nov vol. , no. 4, , 2005.

V. Lotfi, "Significance of Rigorous Fluid_Foundation Interaction in Dynamic Analysis of Concrete Gravity Dams", Structural Engineering and Mechanics, 2005 Sep vol. , no. 2, , 2005.

V. Lotfi, "Freguency domain analysis of concrete gravity dams by decoupled modal approach", , 2004 Aug vol. , no. , , 2004.

V. Lotfi, "Direct freguency domain analysis of eoncrete arch dams based on FE_ ( FE _HE ) _ BE technique", , 2004 Aug vol. , no. 3, , 2004.

V. Lotfi, "Dynamic analysis of concrete arch dams based on FE _ BE proceduce including non _ uniform qround motion", , 2004 May vol. , no. , , 2004.

V. Lotfi, R. Espandar, "Seismic analysis of concrete arch dams by combined discrete crack and non- orthogonal smeared crack technique", , 2004 Jan vol. , no. 1, , 2004.

R. Espandar, V. Lotfi, "Influence of effective parameters of non-orthogonal smeared crack approach in seismic response of concrete arch dams", Canadian Journal of Civil Engineering, 2003 Oct vol. , no. 30, , 2003.

R. Espandar, V. Lotfi, "Comparison of non-orthogonal smeared crack and plasticity models for dynamic analysis of concrete arch dams", Computers and Structures, 2003 Jun vol. , no. 81, , 2003.

V. Lotfi, "Seismic analysis of concrete gravity dams by decoupled modal approach in time domain", , 2003 May vol. , no. 1, , 2003.

V. Lotfi, "Seismic analysis of concrete dams using the pseudo - symmetric technique", , 2002 Jul vol. , no. 2, , 2002.

V. Lotfi, R. Espandar, "An investigation of joints behavior in seismic response of arch dams", , 2002 Apr vol. , no. 1, , 2002.

V. Lotfi, R. Espandar, "Seismic analysis of conrete arch dams by combined discrete crack and elasto - plastic technique", , 2001 Sep vol. , no. , , 2001.

V. Lotfi, "Freqeuncy domain analysis of concrete gravity dams including hydrodynamic effects", , 2001 Apr vol. , no. , , 2001.

V. Lotfi, "Application of discrete crack in nonlinear dynamic analysis of shahid rajaee arch dam", , 2001 Feb vol. , no. 1, , 2001.

V. Lotfi, M.R. Sharghi, "Direct frequency domain analysis of concrete gravity dams based on fe-be procedure", , 2001 Jan vol. , no. , , 2001.

R. Espandar, V. Lotfi, "Application of fixed smeared crack model in earthquake analysis of archdams", , 2000 Jan vol. , no. , , 2000.

V. Lotfi, "The shahid rajaee (tagan) arch dam in Iran", , 1997 Jan vol. , no. , , 1997.

V. Lotfi, "Comparison of discrete crack and elasto-plastic models in nonlinear dynamic analysis of arch dams", , 1996 Jan vol. , no. , , 1996.

V. Lotfi, F. Khoshnudian, "Dynamic analysis of concrete gravity dams by combination of finite elements and boundary elements methods", , 1995 Jan vol. 0, no. 0, , 1995.

Taught Courses

Course title

Description

Headlines

Date

Finite Element Method

4051

Strength of Material (II)

for Plane-StressGeneral State of StressApplication of Mohrs Circle to the Three-Dimensional Analysis of StressYield Criteria for Ductile Materials under Plane-StressFracture Criteria for Brittle Materials under Plane-StressStresses in Thin-Walled Pre

4051

Strength of Material (II)

•Introduction•Transformation of Plane-Stress•Principal Stresses, Maximum Shearing Stress•Mohrs Circle for Plane-Stress•General State of Stress•Application of Mohrs Circle to the Three-Dimensional Analysis of Stress•Yield Criteria for Du

4042

Non-Linear Finite Element

Chap. 2: Review of Linear Finite Element Analysis •Introduction•Stiffness and Mass Matrices •Consistent Equivalent Nodal Forces•Different Techniques for Applying Boundary Conditions•Active Column SolverChap. 3: Different Analysis Options a

4042

Finite Element Method

4041

Strength of Material (II)

4041

Strength of Material (II)

4032