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Journal Articles

Aspects of Computational Homogenization at Finite Deformations: A Unifying Review From Reuss' to Voigt's Bound

Saba Saeb, Paul Steinmann, Ali Javili

Appl. Mech. Rev. September 2016, 68(5): 050801.

Paper No: AMR-15-1141

DOI: https://doi.org/10.1115/1.4034024

Published Online: September 6, 2016

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Topics: Boundary-value problems, Deformation, Displacement, Stress, Traction, Finite element analysis, Theorems (Mathematics), Composite materials

Journal Articles

Extending the Transport Theorem to Rough Domains of Integration

Brian Seguin, Denis F. Hinz, Eliot Fried

Appl. Mech. Rev. September 2014, 66(5): 050802.

Paper No: AMR-13-1022

DOI: https://doi.org/10.1115/1.4026910

Published Online: May 29, 2014

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Topics: Chain, Theorems (Mathematics)

Journal Articles

Toupin-Type Decay and Saint-Venant’s Principle

Jian-Zhong Zhao

Appl. Mech. Rev. November 2010, 63(6): 060803.

DOI: https://doi.org/10.1115/1.4004008

Published Online: June 28, 2011

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Topics: Cylinders, Density, Saint-Venant's principle, Stress, Theorems (Mathematics), Boundary-value problems

Journal Articles

Recent General Solutions in Linear Elasticity and Their Applications

M. Z. Wang, B. X. Xu, C. F. Gao

Appl. Mech. Rev. May 2008, 61(3): 030803.

DOI: https://doi.org/10.1115/1.2909607

Published Online: May 7, 2008

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Topics: Elasticity, Stress, Theorems (Mathematics), Displacement

Journal Articles

Reciprocity and Related Topics in Elastodynamics

Jan D. Achenbach

Appl. Mech. Rev. January 2006, 59(1): 13–32.

DOI: https://doi.org/10.1115/1.2110262

Published Online: January 1, 2006

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Topics: Displacement, Elastodynamics, Stress, Theorems (Mathematics), Waves, Integral equations, Wave motion

Journal Articles

Mechanics of variable-mass systems—Part 1: Balance of mass and linear momentum

Hans Irschik and, Helmut J Holl

Appl. Mech. Rev. March 2004, 57(2): 145–160.

DOI: https://doi.org/10.1115/1.1687409

Published Online: April 26, 2004

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Topics: Fluids, Linear momentum, Particulate matter, Theorems (Mathematics), Momentum, Dynamics (Mechanics), Continuum mechanics, Fluid dynamics

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

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

Journal Articles

Qualitative Methods in Nonlinear Dynamics: Novel Approaches to Liapunov’s Matrix Functions. Pure and Applied Mathematics, Vol 246

AA Martynyuk,, Author, RA Ibrahim,, Reviewer

Appl. Mech. Rev. January 2003, 56(1): B3–B5.

DOI: https://doi.org/10.1115/1.1523356

Published Online: January 15, 2003

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Topics: Engineering mathematics, Nonlinear dynamical systems, Nonlinear dynamics, Stability, Lyapunov methods, Theorems (Mathematics)

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

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

Journal Articles

Variational Solution for an Initial Conditions Problem

C. P. Filipich, M. B. Rosales

Appl. Mech. Rev. November 1997, 50(11S): S50–S55.

DOI: https://doi.org/10.1115/1.3101850

Published Online: November 1, 1997

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Topics: Degrees of freedom, Impulse (Physics), Stress, Theorems (Mathematics)

Journal Articles

Dual Extremum Principles in Finite Deformation Theory With Applications to Post-Buckling Analysis of Extended Nonlinear Beam Model

David Yang Gao

Appl. Mech. Rev. November 1997, 50(11S): S64–S71.

DOI: https://doi.org/10.1115/1.3101852

Published Online: November 1, 1997

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Topics: Buckling, Deformation, Variational principles, Phase transitions, Bifurcation, Nonlinear systems, Potential energy, Shear (Mechanics), Stability, Stress

Journal Articles

Planar Cosserat Elasticity of Materials With Holes and Intrusions

I. Jasiuk, M. Ostoja-Starzewski

Appl. Mech. Rev. November 1995, 48(11S): S11–S18.

DOI: https://doi.org/10.1115/1.3005060

Published Online: November 1, 1995

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Topics: Elasticity, Theorems (Mathematics), Anisotropy, Shear modulus, Stress

Journal Articles

Alternative Approach for the Exact Solution of the Forced Vibrations of Beams

Carlos P. Filipich, Marta B. Rosales

Appl. Mech. Rev. November 1995, 48(11S): S96–S101.

DOI: https://doi.org/10.1115/1.3005089

Published Online: November 1, 1995

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Topics: Differential equations, Dimensions, Equations of motion, Theorems (Mathematics), Vibration

Journal Articles

Hyperelastic Materials Possessing Rotational Symmetry

Nelson Achcar

Appl. Mech. Rev. November 1995, 48(11S): S19–S24.

DOI: https://doi.org/10.1115/1.3005072

Published Online: November 1, 1995

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Topics: Constitutive equations, Density, Isotropy, Theorems (Mathematics)

Journal Articles

Theory of Representations for Tensor Functions—A Unified Invariant Approach to Constitutive Equations

Q.-S. Zheng

Appl. Mech. Rev. November 1994, 47(11): 545–587.

DOI: https://doi.org/10.1115/1.3111066

Published Online: November 1, 1994

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Topics: Constitutive equations, Tensors, Anisotropy, Scalars, Engineering mechanics, Mechanical behavior, Space, Theorems (Mathematics)

Journal Articles

Friction-Induced Vibration, Chatter, Squeal, and Chaos—Part II: Dynamics and Modeling

R. A. Ibrahim

Appl. Mech. Rev. July 1994, 47(7): 227–253.

DOI: https://doi.org/10.1115/1.3111080

Published Online: July 1, 1994

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Topics: Chaos, Chatter, Dynamics (Mechanics), Friction, Modeling, Vibration, Automotive brakes, Bearings, Belts, Cutting tools

Journal Articles

Elastic Moduli of Two Dimensional Materials With Polygonal and Elliptical Holes

I. Jasiuk, J. Chen, M. F. Thorpe

Appl. Mech. Rev. January 1994, 47(1S): S18–S28.

DOI: https://doi.org/10.1115/1.3122813

Published Online: January 1, 1994

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Topics: Elastic moduli, Composite materials, Elastic constants, Elasticity, Theorems (Mathematics)

Journal Articles

Stability of Linear Mechanical Systems With Holonomic Constraints

Peter C. Mu¨ller

Appl. Mech. Rev. November 1993, 46(11S): S160–S164.

DOI: https://doi.org/10.1115/1.3122633

Published Online: November 1, 1993

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Topics: Stability, Algebra, Control theory, Design, Mathematics, Theorems (Mathematics)

Journal Articles

Dynamics of Laminated and Fibrous Composites

A. N. Guz’, N. A. Shulga

Appl. Mech. Rev. February 1992, 45(2): 35–60.

DOI: https://doi.org/10.1115/1.3119748

Published Online: February 1, 1992

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Topics: Algebra, Boundary-value problems, Composite materials, Diffraction, Dynamics (Mechanics), Elastic waves, Fiber reinforced composites, Fibers, Laminates, Mechanical properties

Journal Articles

Domain of Influence Results in Generalized Thermoelasticity—A Survey

Jozef Ignaczak

Appl. Mech. Rev. September 1991, 44(9): 375–382.

DOI: https://doi.org/10.1115/1.3119510

Published Online: September 1, 1991

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Topics: Thermoelasticity, Waves, Anisotropy, Modeling, Stress, Temperature, Theorems (Mathematics)

Journal citation

NARROW

Aspects of Computational Homogenization at Finite Deformations: A Unifying Review From Reuss' to Voigt's Bound

Extending the Transport Theorem to Rough Domains of Integration

Toupin-Type Decay and Saint-Venant’s Principle

Recent General Solutions in Linear Elasticity and Their Applications

Reciprocity and Related Topics in Elastodynamics

Mechanics of variable-mass systems—Part 1: Balance of mass and linear momentum

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

Qualitative Methods in Nonlinear Dynamics: Novel Approaches to Liapunov’s Matrix Functions. Pure and Applied Mathematics, Vol 246

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

Variational Solution for an Initial Conditions Problem

Dual Extremum Principles in Finite Deformation Theory With Applications to Post-Buckling Analysis of Extended Nonlinear Beam Model

Planar Cosserat Elasticity of Materials With Holes and Intrusions

Alternative Approach for the Exact Solution of the Forced Vibrations of Beams

Hyperelastic Materials Possessing Rotational Symmetry

Theory of Representations for Tensor Functions—A Unified Invariant Approach to Constitutive Equations

Friction-Induced Vibration, Chatter, Squeal, and Chaos—Part II: Dynamics and Modeling

Elastic Moduli of Two Dimensional Materials With Polygonal and Elliptical Holes

Stability of Linear Mechanical Systems With Holonomic Constraints

Dynamics of Laminated and Fibrous Composites

Domain of Influence Results in Generalized Thermoelasticity—A Survey

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