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Journal Articles

On 36 Forms of the Acoustic Wave Equation in Potential Flows and Inhomogeneous Media

L. M. B. C. Campos

Appl. Mech. Rev. July 2007, 60(4): 149–171.

DOI: https://doi.org/10.1115/1.2750670

Published Online: July 1, 2007

View Article titled, On 36 Forms of the Acoustic Wave Equation in Potential Flows and Inhomogeneous Media

Topics: Acoustics, Flow (Dynamics), Wave equations

Journal Articles

My Challenge in the Development of a Mixed Variational Method in Solid Mechanics

Tadahiko Kawai

Appl. Mech. Rev. March 2007, 60(2): 51–64.

DOI: https://doi.org/10.1115/1.2472382

Published Online: March 1, 2007

...Tadahiko Kawai stress-strain relations elastic deformation variational techniques Approximately 130 years ago, Josiah Willard Gibbs, the founder of modern thermodynamics, established the following important theorems assuming existence and positive definiteness of the strain...

View Article titled, My Challenge in the Development of a Mixed Variational Method in Solid Mechanics

Topics: Deformation, Displacement, Equilibrium (Physics), Finite element analysis, Stress, Variational techniques, Solid mechanics, Boundary-value problems, Cantilevers, Finite element methods

Journal Articles

Electroelasticity Relations and Fracture Mechanics of Piezoelectric Structures

V. M. Bogomol’nyi

Appl. Mech. Rev. January 2007, 60(1): 21–36.

DOI: https://doi.org/10.1115/1.2375142

Published Online: January 1, 2007

... materials plates (structures) shells (structures) elasticity fracture mechanics electrostriction piezoelectricity variational techniques differential equations viscoelasticity dielectric relaxation acoustic waves dielectric resonance dielectric polarisation A new scientific direction...

View Article titled, Electroelasticity Relations and Fracture Mechanics of Piezoelectric Structures

Topics: Electric fields, Electrodes, Metals, Plates (structures), Polarization (Electricity), Polarization (Light), Polarization (Waves), Resonance, Shells, Stress

Journal Articles

Trefftz Finite Element Method and Its Applications

Qing-Hua Qin

Appl. Mech. Rev. September 2005, 58(5): 316–337.

DOI: https://doi.org/10.1115/1.1995716

Published Online: September 1, 2005

... references cited in this revised article. plates (structures) finite element analysis variational techniques elasticity bending heat conduction reviews In the case of a thin-plate element the internal displacement field 9 becomes 95 w = w ̆ + ∑ j = 1 m N j c j...

View Article titled, Trefftz Finite Element Method and Its Applications

Topics: Boundary-value problems, Corners (Structural elements), Deflection, Differential equations, Displacement, Elasticity, Finite element analysis, Fracture (Materials), Plates (structures), Stiffness

Journal Articles

Optimal Control Systems

DS Naidu,, Author, I Kolmanovsky,, Reviewer

Appl. Mech. Rev. January 2004, 57(1): B3–B4.

DOI: https://doi.org/10.1115/1.1641776

Published Online: February 10, 2004

...DS Naidu,, Author; I Kolmanovsky,, Reviewer 10 02 2004 optimal control variational techniques control theory control systems reviews 1R6. Optimal Control Systems. - DS Naidu (Idaho State Univ, Pocatello ID) . CRC Press LLC, Boca Raton FL. 2003. 433 pp. ISBN 0-8493-0892...

View Article titled, Optimal Control Systems

Topics: Optimal control, Variational techniques, Control theory

Journal Articles

Historical review of Zig-Zag theories for multilayered plates and shells

Erasmo Carrera

Appl. Mech. Rev. May 2003, 56(3): 287–308.

DOI: https://doi.org/10.1115/1.1557614

Published Online: May 2, 2003

... variational techniques reviews Two-dimensional (2D) modeling of multilayered plates and shells requires appropriate theories. The discontinuity of physical/mechanical properties in the thickness direction makes inadequate those theories which were originally developed for one-layered structures, eg...

View Article titled, Historical review of Zig-Zag theories for multilayered plates and shells

Topics: Displacement, Plates (structures), Shells, Stress, Shear stress, Theorems (Mathematics)

Journal Articles

Variational Inequality Approach to Free Boundary Problems with Applications in Mould Filling. ISNM, Vol 136

J Steinbach,, Author, L Mishnaevsky, Jr,

Appl. Mech. Rev. November 2002, 55(6): B112–B114.

DOI: https://doi.org/10.1115/1.1508152

Published Online: October 16, 2002

...J Steinbach,, Author; L Mishnaevsky, Jr, 16 10 2002 moulding boundary-value problems variational techniques partial differential equations reviews 11R23. Variational Inequality Approach to Free Boundary Problems with Applications in Mould Filling. ISNM, Vol 136. - J...

View Article titled, Variational Inequality Approach to Free Boundary Problems with Applications in Mould Filling. ISNM, Vol 136

Topics: Boundary-value problems, Finite element analysis, Molding, Partial differential equations, Variational techniques, Approximation, Numerical analysis, Nonlinear differential equations, Compression molding

Journal Articles

Contact mechanics of multilayered rough surfaces

Bharat Bhushan, Wei Peng

Appl. Mech. Rev. September 2002, 55(5): 435–480.

DOI: https://doi.org/10.1115/1.1488931

Published Online: September 11, 2002

... and MicroElectroMechanical Systems (MEMS) are presented. This review article contains 92 references. 11 09 2002 rough surfaces mechanical contact tribology finite difference methods finite element analysis boundary-elements methods elasticity variational techniques reviews Contact mechanics Layer...

View Article titled, Contact mechanics of multilayered rough surfaces

Topics: Pressure, Stress, Surface roughness, Friction, Boundary element methods, Contact mechanics, Numerical analysis

Journal Articles

Variational Methods for Structural Optimization. Applied Mathematical Sciences, Vol. 140

A Cherkaev,, Author, D Givoli,, Reviewer

Appl. Mech. Rev. May 2002, 55(3): B44–B45.

DOI: https://doi.org/10.1115/1.1470669

Published Online: June 10, 2002

...A Cherkaev,, Author; D Givoli,, Reviewer 10 06 2002 structural engineering computing variational techniques optimisation reviews 5R5. Variational Methods for Structural Optimization. Applied Mathematical Sciences, Vol 140. - A Cherkaev (Dept of Math, Univ of Utah...

View Article titled, Variational Methods for Structural Optimization. Applied Mathematical Sciences, Vol. 140

Topics: Optimization, Structural optimization, Variational techniques, Composite materials, Structural engineering computing

Journal Articles

Optimal Control: An Introduction

A Locatelli,, Author, S Sieniutycz,, Reviewer

Appl. Mech. Rev. May 2002, 55(3): B48–B49.

DOI: https://doi.org/10.1115/1.1470675

Published Online: June 10, 2002

...A Locatelli,, Author; S Sieniutycz,, Reviewer 10 06 2002 optimal control optimisation control engineering variational techniques reviews 5R19. Optimal Control: An Introduction. - A Locatelli (Dept di Elettronica e Informazione, Politecnico di Milano, Piazza L da Vinci...

View Article titled, Optimal Control: An Introduction

Topics: Optimal control, Optimization, Variational techniques

Journal Articles

Conformal mapping, variational methods, and acoustic emission in mechanical cables

Patricio AA Laura

Appl. Mech. Rev. September 2001, 54(5): R11–R15.

DOI: https://doi.org/10.1115/1.1390521

Published Online: September 1, 2001

...Patricio AA Laura flexible structures acoustic emission variational techniques partial differential equations history biographies I apologize sincerely for using the title of the book I coauthored with R Schinzinger (Elsevier, 1991) for this section of my Retrospective...

View Article titled, Conformal mapping, variational methods, and acoustic emission in mechanical cables

Topics: Acoustic emissions, Cables, Variational techniques, Vibration

Journal Articles

Developments, ideas, and evaluations based upon Reissner’s Mixed Variational Theorem in the modeling of multilayered plates and shells

Erasmo Carrera

Appl. Mech. Rev. July 2001, 54(4): 301–329.

DOI: https://doi.org/10.1115/1.1385512

Published Online: July 1, 2001

... deformabilities than in isotropic cases. modelling multilayers mechanical properties stress-strain relations variational techniques elasticity continuum mechanics The literature of the last 15 year shows that Reissner’s Mixed Variational Theorem (RMVT) has played a significant role toward...

View Article titled, Developments, ideas, and evaluations based upon Reissner’s Mixed Variational Theorem in the modeling of multilayered plates and shells

Topics: Displacement, Plates (structures), Shells, Stress, Finite element analysis, Theorems (Mathematics), Hooke's law

Journal citation

NARROW

On 36 Forms of the Acoustic Wave Equation in Potential Flows and Inhomogeneous Media

My Challenge in the Development of a Mixed Variational Method in Solid Mechanics

Electroelasticity Relations and Fracture Mechanics of Piezoelectric Structures

Trefftz Finite Element Method and Its Applications

Optimal Control Systems

Historical review of Zig-Zag theories for multilayered plates and shells

Variational Inequality Approach to Free Boundary Problems with Applications in Mould Filling. ISNM, Vol 136

Contact mechanics of multilayered rough surfaces

Variational Methods for Structural Optimization. Applied Mathematical Sciences, Vol. 140

Optimal Control: An Introduction

Conformal mapping, variational methods, and acoustic emission in mechanical cables

Developments, ideas, and evaluations based upon Reissner’s Mixed Variational Theorem in the modeling of multilayered plates and shells

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