Mathematical and Computational Approaches in Applied Mechanics

It is difficult to talk about mechanics without mentioning at least one contribution made by Prof. J.N. Reddy, who has embraced all aspects of applied mechanics, from continuums to engineering theories. He is best known for his research on the shear deformation theories of beams, plates, and shells...

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Taal:Engels
Gepubliceerd in: MDPI - Multidisciplinary Digital Publishing Institute 2026
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collection Directory of Open Access Books
description It is difficult to talk about mechanics without mentioning at least one contribution made by Prof. J.N. Reddy, who has embraced all aspects of applied mechanics, from continuums to engineering theories. He is best known for his research on the shear deformation theories of beams, plates, and shells (which bear his name—Reddy third-order theory) that have also been extended to layer-wise models (known as the Reddy layer-wise theory). He has not only worked on solid mechanics but also in other fields such as the flows of viscous fluids and non-Newtonian fluids. Most of his research was developed using the finite element method across several fields, which has since been incorporated into well-known and extremely powerful commercial codes. Prof. J.N. Reddy is a Distinguished Professor and a Regents' Professor and has been the inaugural holder of the Oscar S. Wyatt Endowed Chair in Mechanical Engineering at Texas A&M University since 1992. He is a highly cited researcher with a Google Scholar h-index of 124 and is the author of 25 textbooks and over 620 journal papers. He has delivered over 210 plenaries, keynote lectures, and general invited lectures at international conferences, and advised 60 postdoctoral fellows and research visitors, along with 128 graduate students.
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publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
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spelling doab-20.500.12854ir-1750392026-04-16T18:26:09Z Mathematical and Computational Approaches in Applied Mechanics Fantuzzi, Nicholas Bacciocchi, Michele Ruocco, Eugenio Loja, Maria Amélia Ramos Loya, Jose Functionally graded material Al2O3 Adhesive Thermal stress Elasticity theory Finite difference method Micro particles Beam Thermal analysis Third-order shear deformation theory Finite element model Buckling loads Cracked Euler–Bernoulli columns Winkler elastic medium R-function method Elastic foundation Linear static finite element analysis Functionally graded plates Carbon nanotubes Monte Carlo simulation Multiple regression modeling Higher-order methods Approximation theory Spectral elements Approximate Fekete points Weierstrass theorem Metamaterial beam Winkler–Pasternak foundation Forced vibrations Graphene origami Boundary element method Fractional order Three-dimensional Thermal stress wave propagation Anisotropic materials FG nanocomposite orthotropic material Cross-ply cylindrical shells Stability Thermal environment Two-parameter elastic foundation Axial buckling load Mode shape projection Laminated composite plates Damage detection Signal processing Bridge vibrations Semi-active DVA Adjustable vibration absorber Viscous variable damping dashpot Moving load Vibration reduction Nonlinear finite element analysis Circular Annular plates Third-order theory Functionally graded porous materials Modified couple stress theory N A thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology It is difficult to talk about mechanics without mentioning at least one contribution made by Prof. J.N. Reddy, who has embraced all aspects of applied mechanics, from continuums to engineering theories. He is best known for his research on the shear deformation theories of beams, plates, and shells (which bear his name—Reddy third-order theory) that have also been extended to layer-wise models (known as the Reddy layer-wise theory). He has not only worked on solid mechanics but also in other fields such as the flows of viscous fluids and non-Newtonian fluids. Most of his research was developed using the finite element method across several fields, which has since been incorporated into well-known and extremely powerful commercial codes. Prof. J.N. Reddy is a Distinguished Professor and a Regents' Professor and has been the inaugural holder of the Oscar S. Wyatt Endowed Chair in Mechanical Engineering at Texas A&M University since 1992. He is a highly cited researcher with a Google Scholar h-index of 124 and is the author of 25 textbooks and over 620 journal papers. He has delivered over 210 plenaries, keynote lectures, and general invited lectures at international conferences, and advised 60 postdoctoral fellows and research visitors, along with 128 graduate students. 2026-04-16T18:26:00Z 2026-04-16T18:26:00Z 2025 book ONIX_20260416T142754_9783725858514_44 9783725858514 9783725858521 https://directory.doabooks.org/handle/20.500.12854/175039 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/ https://mdpi.com/books/pdfview/book/11939 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-5852-1 10.3390/books978-3-7258-5852-1 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725858514 9783725858521 276 CH open access
spellingShingle Functionally graded material
Al2O3
Adhesive
Thermal stress
Elasticity theory
Finite difference method
Micro particles
Beam
Thermal analysis
Third-order shear deformation theory
Finite element model
Buckling loads
Cracked Euler–Bernoulli columns
Winkler elastic medium
R-function method
Elastic foundation
Linear static finite element analysis
Functionally graded plates
Carbon nanotubes
Monte Carlo simulation
Multiple regression modeling
Higher-order methods
Approximation theory
Spectral elements
Approximate Fekete points
Weierstrass theorem
Metamaterial beam
Winkler–Pasternak foundation
Forced vibrations
Graphene origami
Boundary element method
Fractional order
Three-dimensional
Thermal stress wave propagation
Anisotropic materials
FG nanocomposite orthotropic material
Cross-ply cylindrical shells
Stability
Thermal environment
Two-parameter elastic foundation
Axial buckling load
Mode shape projection
Laminated composite plates
Damage detection
Signal processing
Bridge vibrations
Semi-active DVA
Adjustable vibration absorber
Viscous variable damping dashpot
Moving load
Vibration reduction
Nonlinear finite element analysis
Circular
Annular plates
Third-order theory
Functionally graded porous materials
Modified couple stress theory
N
A
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology
Mathematical and Computational Approaches in Applied Mechanics
title Mathematical and Computational Approaches in Applied Mechanics
title_full Mathematical and Computational Approaches in Applied Mechanics
title_fullStr Mathematical and Computational Approaches in Applied Mechanics
title_full_unstemmed Mathematical and Computational Approaches in Applied Mechanics
title_short Mathematical and Computational Approaches in Applied Mechanics
title_sort mathematical and computational approaches in applied mechanics
topic Functionally graded material
Al2O3
Adhesive
Thermal stress
Elasticity theory
Finite difference method
Micro particles
Beam
Thermal analysis
Third-order shear deformation theory
Finite element model
Buckling loads
Cracked Euler–Bernoulli columns
Winkler elastic medium
R-function method
Elastic foundation
Linear static finite element analysis
Functionally graded plates
Carbon nanotubes
Monte Carlo simulation
Multiple regression modeling
Higher-order methods
Approximation theory
Spectral elements
Approximate Fekete points
Weierstrass theorem
Metamaterial beam
Winkler–Pasternak foundation
Forced vibrations
Graphene origami
Boundary element method
Fractional order
Three-dimensional
Thermal stress wave propagation
Anisotropic materials
FG nanocomposite orthotropic material
Cross-ply cylindrical shells
Stability
Thermal environment
Two-parameter elastic foundation
Axial buckling load
Mode shape projection
Laminated composite plates
Damage detection
Signal processing
Bridge vibrations
Semi-active DVA
Adjustable vibration absorber
Viscous variable damping dashpot
Moving load
Vibration reduction
Nonlinear finite element analysis
Circular
Annular plates
Third-order theory
Functionally graded porous materials
Modified couple stress theory
N
A
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology
topic_facet Functionally graded material
Al2O3
Adhesive
Thermal stress
Elasticity theory
Finite difference method
Micro particles
Beam
Thermal analysis
Third-order shear deformation theory
Finite element model
Buckling loads
Cracked Euler–Bernoulli columns
Winkler elastic medium
R-function method
Elastic foundation
Linear static finite element analysis
Functionally graded plates
Carbon nanotubes
Monte Carlo simulation
Multiple regression modeling
Higher-order methods
Approximation theory
Spectral elements
Approximate Fekete points
Weierstrass theorem
Metamaterial beam
Winkler–Pasternak foundation
Forced vibrations
Graphene origami
Boundary element method
Fractional order
Three-dimensional
Thermal stress wave propagation
Anisotropic materials
FG nanocomposite orthotropic material
Cross-ply cylindrical shells
Stability
Thermal environment
Two-parameter elastic foundation
Axial buckling load
Mode shape projection
Laminated composite plates
Damage detection
Signal processing
Bridge vibrations
Semi-active DVA
Adjustable vibration absorber
Viscous variable damping dashpot
Moving load
Vibration reduction
Nonlinear finite element analysis
Circular
Annular plates
Third-order theory
Functionally graded porous materials
Modified couple stress theory
N
A
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology
url ONIX_20260416T142754_9783725858514_44