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Journal Articles

An Entropy Dynamics Approach for Deriving and Applying Fractal and Fractional Order Viscoelasticity to Elastomers

Basanta R. Pahari, Eugenia Stanisauskis, Somayeh Mashayekhi, William Oates

Publisher: ASME

J. Appl. Mech. August 2023, 90(8): 081009.

Paper No: JAM-23-1114

https://doi.org/10.1115/1.4062389

Published Online: May 23, 2023

View Article titled, An Entropy Dynamics Approach for Deriving and Applying Fractal and Fractional Order Viscoelasticity to Elastomers

Topics: Fractals, Viscoelasticity, Entropy, Elastomers

Journal Articles

Free Response of a Rotational Nonlinear Energy Sink Coupled to a Linear Oscillator: Fractality, Riddling, and Initial-Condition Sensitivity at Large Initial Displacements

Ke Ding, Arne J. Pearlstein

Publisher: ASME

J. Appl. Mech. June 2022, 89(6): 061001.

Paper No: JAM-21-1490

https://doi.org/10.1115/1.4053719

Published Online: March 10, 2022

View Article titled, Free Response of a Rotational Nonlinear Energy Sink Coupled to a Linear Oscillator: Fractality, Riddling, and Initial-Condition Sensitivity at Large Initial Displacements

Topics: Chaos, Damping, Energy dissipation, Fractals, Harmonic oscillators, Transients (Dynamics), Stability, Oscillations

Includes: Supplementary data

Journal Articles

Modeling of Frictional Stick-Slip of Contact Interfaces Considering Normal Fractal Contact

Kai Zong, Zhaoye Qin, Fulei Chu

Publisher: ASME

J. Appl. Mech. March 2022, 89(3): 031003.

Paper No: JAM-21-1300

https://doi.org/10.1115/1.4052882

Published Online: November 16, 2021

View Article titled, Modeling of Frictional Stick-Slip of Contact Interfaces Considering Normal Fractal Contact

Topics: Fractals, Modeling, Stick-slip, Stress, Stiffness, Displacement, Surface roughness

Journal Articles

Free Response of a Rotational Nonlinear Energy Sink Coupled to a Linear Oscillator: Fractality, Riddling, and Initial-Condition Sensitivity at Intermediate Initial Displacements

Ke Ding, Arne J. Pearlstein

Publisher: ASME

J. Appl. Mech. December 2021, 88(12): 121009.

Paper No: JAM-21-1193

https://doi.org/10.1115/1.4051998

Published Online: September 6, 2021

View Article titled, Free Response of a Rotational Nonlinear Energy Sink Coupled to a Linear Oscillator: Fractality, Riddling, and Initial-Condition Sensitivity at Intermediate Initial Displacements

Topics: Chaos, Damping, Energy dissipation, Harmonic oscillators, Oscillations, Rotation, Transients (Dynamics), Time series, Displacement, Fractals

Includes: Supplementary data

Journal Articles

Mechanics Design for Compatible Deformation of Fractal Serpentine Interconnects in High-Density Stretchable Electronics

Yin Huang, Zhuangzhuang Mu, Peng Feng, Jianghong Yuan

Publisher: ASME

J. Appl. Mech. March 2019, 86(3): 031011.

Paper No: JAM-18-1652

https://doi.org/10.1115/1.4042290

Published Online: January 11, 2019

View Article titled, Mechanics Design for Compatible Deformation of Fractal Serpentine Interconnects in High-Density Stretchable Electronics

Topics: Bridges (Structures), Buckling, Deformation, Design, Electronics, Fractals, Displacement, Density

Journal Articles

Mechanics of Fractal-Inspired Horseshoe Microstructures for Applications in Stretchable Electronics

Qiang Ma, Yihui Zhang

Publisher: ASME

J. Appl. Mech. November 2016, 83(11): 111008.

Paper No: JAM-16-1364

https://doi.org/10.1115/1.4034458

Published Online: September 8, 2016

View Article titled, Mechanics of Fractal-Inspired Horseshoe Microstructures for Applications in Stretchable Electronics

Topics: Fractals, Stress-strain curves, Deformation, Electronics, Finite element analysis

Journal Articles

Fractal Pattern Formation at Elastic-Plastic Transition in Heterogeneous Materials

J. Li, M. Ostoja-Starzewski

Publisher: ASME

J. Appl. Mech. March 2010, 77(2): 021005.

https://doi.org/10.1115/1.3176995

Published Online: December 9, 2009

View Article titled, Fractal Pattern Formation at Elastic-Plastic Transition in Heterogeneous Materials

Topics: Fractals, Dimensions, Anisotropy, Elastic moduli, Stress, Pattern formation

Journal Articles

Effect of Specimen Size on the Dissipated Energy Density in Compression

Giuseppe Ferro, Alberto Carpinteri

Publisher: ASME

J. Appl. Mech. July 2008, 75(4): 041003.

https://doi.org/10.1115/1.2910899

Published Online: May 9, 2008

View Article titled, Effect of Specimen Size on the Dissipated Energy Density in Compression

Topics: Compression, Concretes, Density, Dimensions, Fractals, Energy dissipation, Compressive strength

Journal Articles

A New Microcontact Model Developed for Variable Fractal Dimension, Topothesy, Density of Asperity, and Probability Density Function of Asperity Heights

Jeng Luen Liou, Jen Fin Lin

Publisher: ASME

J. Appl. Mech. July 2007, 74(4): 603–613.

https://doi.org/10.1115/1.2338059

Published Online: April 19, 2006

View Article titled, A New Microcontact Model Developed for Variable Fractal Dimension, Topothesy, Density of Asperity, and Probability Density Function of Asperity Heights

Topics: Deformation, Density, Dimensions, Fractals, Probability, Separation (Technology)

Journal Articles

Variation in Fractal Properties and Non-Gaussian Distributions of Microcontact Between Elastic-Plastic Rough Surfaces With Mean Surface Separation

Jung Ching Chung, Jen Fin Lin

Publisher: ASME

J. Appl. Mech. January 2006, 73(1): 143–152.

https://doi.org/10.1115/1.2061967

Published Online: May 12, 2005

View Article titled, Variation in Fractal Properties and Non-Gaussian Distributions of Microcontact Between Elastic-Plastic Rough Surfaces With Mean Surface Separation

Topics: Deformation, Dimensions, Fractals, Separation (Technology), Surface roughness, Stress, Density, Probability

Journal Articles

The Short-Time Impulse Response of Euler-Bernoulli Beams

Anindya Chatterjee

Publisher: ASME

J. Appl. Mech. March 2004, 71(2): 208–218.

https://doi.org/10.1115/1.1667531

Published Online: May 5, 2004

View Article titled, The Short-Time Impulse Response of Euler-Bernoulli Beams

Topics: Impulse (Physics), Simply supported beams, Displacement, Boundary-value problems, Fractals

Journal Articles

Coefficients of Restitution Based on a Fractal Surface Model

Chung-Jen Lu, Associate Professor, Ming-Chang Kuo, Graduate Student

Publisher: ASME

J. Appl. Mech. May 2003, 70(3): 339–345.

https://doi.org/10.1115/1.1574063

Published Online: June 11, 2003

View Article titled, Coefficients of Restitution Based on a Fractal Surface Model

Topics: Deformation, Displacement, Fractals, Stress, Surface roughness

Journal Articles

One, Two, and Three-Dimensional Universal Laws for Fragmentation due to Impact and Explosion

A. Carpinteri, Professor,, N. Pugno, Researcher,

Publisher: ASME

J. Appl. Mech. November 2002, 69(6): 854–856.

https://doi.org/10.1115/1.1488937

Published Online: October 31, 2002

View Article titled, One, Two, and Three-Dimensional Universal Laws for Fragmentation due to Impact and Explosion

Topics: Energy dissipation, Explosions, Fractals, Collisions (Physics), Particle size, Brittleness

Journal Articles

On Fractal Cracks in Micropolar Elastic Solids

A. Yavari, Graduate Research Assistant Assoc. Mem. ASME, S. Sarkani, Professor, E. T. Moyer,, Jr., Adjunct Associate Professor

Publisher: ASME

J. Appl. Mech. January 2002, 69(1): 45–54.

https://doi.org/10.1115/1.1409258

Published Online: January 16, 2001

View Article titled, On Fractal Cracks in Micropolar Elastic Solids

Topics: Fractals, Fracture (Materials), Stress, Solids, Fracture mechanics

Journal Articles

Elastic Multiscale Contact of Rough Surfaces: Archard’s Model Revisited and Comparisons With Modern Fractal Models

M. Ciavarella, G. Demelio

Publisher: ASME

J. Appl. Mech. May 2001, 68(3): 496–498.

https://doi.org/10.1115/1.1352016

Published Online: May 22, 2000

View Article titled, Elastic Multiscale Contact of Rough Surfaces: Archard’s Model Revisited and Comparisons With Modern Fractal Models

Topics: Fractals, Surface roughness, Friction, Stress

Journal Articles

A Fractal Model for the Rigid-Perfectly Plastic Contact of Rough Surfaces

T. L. Warren, A. Majumdar, D. Krajcinovic

Publisher: ASME

J. Appl. Mech. March 1996, 63(1): 47–54.

https://doi.org/10.1115/1.2787208

Published Online: March 1, 1996

View Article titled, A Fractal Model for the Rigid-Perfectly Plastic Contact of Rough Surfaces

Topics: Fractals, Surface roughness, Deformation, Displacement, Geometry, Steel, Stress

Journal Articles

Fractal Dimensions in Elastic-Plastic Beam Dynamics

P. S. Symonds, J.-Y. Lee

Publisher: ASME

J. Appl. Mech. June 1995, 62(2): 523–526.

https://doi.org/10.1115/1.2895961

Published Online: June 1, 1995

View Article titled, Fractal Dimensions in Elastic-Plastic Beam Dynamics

Topics: Dimensions, Dynamics (Mechanics), Fractals, Displacement, Magnification, Damping, Stress, Trajectories (Physics)

Journal Articles

Localized Elasticae for the Strut on the Linear Foundation

G. W. Hunt, M. K. Wadee, N. Shiacolas

Publisher: ASME

J. Appl. Mech. December 1993, 60(4): 1033–1038.

https://doi.org/10.1115/1.2900971

Published Online: December 1, 1993

View Article titled, Localized Elasticae for the Strut on the Linear Foundation

Topics: Struts (Engineering), Buckling, Chaos, Fractals, Kinetic energy, Phase space, Potential energy

Journal Articles

Instability of Loaded Fractal Trees

J. B. Go´mez, A. F. Pacheco, A. J. Segui´-Santonja

Publisher: ASME

J. Appl. Mech. December 1993, 60(4): 959–961.

https://doi.org/10.1115/1.2901008

Published Online: December 1, 1993

View Article titled, Instability of Loaded Fractal Trees

Topics: Fractals, Failure, Fibers

Journal Articles

Low-Dimensional Chaos in a Flexible Tube Conveying Fluid

M. P. Pai¨doussis, J. P. Cusumano, G. S. Copeland

Publisher: ASME

J. Appl. Mech. March 1992, 59(1): 196–205.

https://doi.org/10.1115/1.2899428

Published Online: March 1, 1992

View Article titled, Low-Dimensional Chaos in a Flexible Tube Conveying Fluid

Topics: Chaos, Fluids, Bifurcation, Delays, Dimensions, Dynamic systems, Fast Fourier transforms, Flow (Dynamics), Fractals, Limit cycles

Journal citation

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Supplemental Material

An Entropy Dynamics Approach for Deriving and Applying Fractal and Fractional Order Viscoelasticity to Elastomers

Free Response of a Rotational Nonlinear Energy Sink Coupled to a Linear Oscillator: Fractality, Riddling, and Initial-Condition Sensitivity at Large Initial Displacements

Modeling of Frictional Stick-Slip of Contact Interfaces Considering Normal Fractal Contact

Free Response of a Rotational Nonlinear Energy Sink Coupled to a Linear Oscillator: Fractality, Riddling, and Initial-Condition Sensitivity at Intermediate Initial Displacements

Mechanics Design for Compatible Deformation of Fractal Serpentine Interconnects in High-Density Stretchable Electronics

Mechanics of Fractal-Inspired Horseshoe Microstructures for Applications in Stretchable Electronics

Fractal Pattern Formation at Elastic-Plastic Transition in Heterogeneous Materials

Effect of Specimen Size on the Dissipated Energy Density in Compression

A New Microcontact Model Developed for Variable Fractal Dimension, Topothesy, Density of Asperity, and Probability Density Function of Asperity Heights

Variation in Fractal Properties and Non-Gaussian Distributions of Microcontact Between Elastic-Plastic Rough Surfaces With Mean Surface Separation

The Short-Time Impulse Response of Euler-Bernoulli Beams

Coefficients of Restitution Based on a Fractal Surface Model

One, Two, and Three-Dimensional Universal Laws for Fragmentation due to Impact and Explosion

On Fractal Cracks in Micropolar Elastic Solids

Elastic Multiscale Contact of Rough Surfaces: Archard’s Model Revisited and Comparisons With Modern Fractal Models

A Fractal Model for the Rigid-Perfectly Plastic Contact of Rough Surfaces

Fractal Dimensions in Elastic-Plastic Beam Dynamics

Localized Elasticae for the Strut on the Linear Foundation

Instability of Loaded Fractal Trees

Low-Dimensional Chaos in a Flexible Tube Conveying Fluid

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