The concept of material forces in phase transition problems within the level-set framework

Arvanitakis, Antonios I.; Kalpakides, V.K.

doi:10.1007/s00419-011-0517-0

Cited by 8 publications

(2 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Hence, we stick to the simplest hypothesis here. It is also worth mentioning that other theoretical approaches study the movement of an interfacial zone using either a variational principle [37] or a levelset concept [38]. In the current treatment, we prefer the simpler sharp-interface model.…”

Section: Transformation Condition and Kineticsmentioning

confidence: 99%

Thermodynamic modeling of a phase transformation in protein filaments with mechanical function

Fischer¹,

Harrington²,

Fratzl³

2013

New J. Phys.

View full text Add to dashboard Cite

Protective egg capsules from whelks (intertidal marine gastropods) were recently demonstrated to derive their impressive mechanical behavior-reminiscent of the pseudoelastic behavior in some alloy systems from a reversible phase transition of component protein building blocks from a compact α-helical conformation to a more extended softer conformation, called β * . This behavior was previously modeled under equilibrium conditions, demonstrating that the transition from the αto β * -phase could account for the pronounced yield plateau and reversibility; however, a theoretical understanding of the non-equilibrium behaviors of the egg capsule (e.g. strain rate dependence and hysteresis) requires a new approach. Here, we modify the previously proposed model in order to address the time-dependent behaviors of the whelk egg capsule biopolymer. Our results indicate that hysteresis during cyclic loading originates from a mismatch between the speed of the mechanical driving force and the rate at which the phase transition occurs. Furthermore, the characteristic curved shape of the stress-strain plot arises from a nonlinear relationship between the transformation rate and the amount of applied load. These results have important implications for our understanding of the mechanics of biological polymers and may have implications for the design of biomimetic pseudoelastic polymers.

show abstract

Section: Transformation Condition and Kineticsmentioning

confidence: 99%

Thermodynamic modeling of a phase transformation in protein filaments with mechanical function

Fischer¹,

Harrington²,

Fratzl³

2013

New J. Phys.

View full text Add to dashboard Cite

show abstract

“…We assume two different thermo-elastic problems defined in the same region (6). These problems correspond to two different phases of a material capable of undergoing phase transformation at a specific temperature.…”

Section: Building a Phase Transition Problem By Using The Level Set Methodsmentioning

confidence: 99%

Theoretical and computational aspects οf phase transitions in elastic ferroelectric materials

Αρβανιτάκης¹

View full text Add to dashboard Cite

This work would not have been completed without the support and guidance of several people over the course of completing my Ph.D.First, I would like to sincerely thank my supervisor Professor Vassilios Kalpakides for his immense help in shaping this work. Professor Kalpakides was always near for any kind of problem that has arisen during the preparation of this thesis. He is the kind of teacher that inspires trust and close to him i have learned that research requires patience and dedication. I would also like to thank Pr. Evangelos Hadjigeorgiou for his guidance and valuable discussions through the preparation of my thesis. I also thank Professor Cristian Dascalu, who accepted to be an advisor and even though he was far away, he kept watching my progress with great interest. I sincerely thank my many colleagues in our mechanics of materials research group for their support and encouragement during my course of study. Most importantly, I would like to thank my family and all my good friends. I could not have achieved this goal without their love and support. I especially thank my brother Alexandros and my sister Peny for their encouragement and love.Finally, I would like to thank the Department of Materials Science and Engineering for its warm hospitality and the State Scholarships Foundation (I. K.Y.) of Greece for providing a scholarship which supported financially this research.

show abstract

Influence of the particle size and volume fraction on micro-damage of the composites

Bian

Wang

2012

Arch Appl Mech

View full text Add to dashboard Cite

The concept of material forces in phase transition problems within the level-set framework

Cited by 8 publications

References 19 publications

Thermodynamic modeling of a phase transformation in protein filaments with mechanical function

Thermodynamic modeling of a phase transformation in protein filaments with mechanical function

Theoretical and computational aspects οf phase transitions in elastic ferroelectric materials

Influence of the particle size and volume fraction on micro-damage of the composites

Contact Info

Product

Resources

About