The Experts below are selected from a list of 29694 Experts worldwide ranked by ideXlab platform
Abhinav Sharma - One of the best experts on this subject based on the ideXlab platform.
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strain controlled criticality governs the Nonlinear Mechanics of fibre networks
Nature Physics, 2016Co-Authors: Robbie Rens, Albert James Licup, Abhinav Sharma, Karin A Jansen, M Sheinman, Gijsje H Koenderink, F C MackintoshAbstract:Fibre networks become rigid at a critical connectivity, but biopolymers giving structure to cells aren’t always well connected. Modelling and experiments on collagen networks show that their rigidity constitutes strain-controlled critical behaviour.
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strain controlled criticality governs the Nonlinear Mechanics of fibre networks
Nature Physics, 2016Co-Authors: Robbie Rens, Albert James Licup, Abhinav Sharma, Karin A Jansen, M Sheinman, Gijsje H Koenderink, F C MackintoshAbstract:Fibre networks become rigid at a critical connectivity, but biopolymers giving structure to cells aren’t always well connected. Modelling and experiments on collagen networks show that their rigidity constitutes strain-controlled critical behaviour. Disordered fibrous networks are ubiquitous in nature as major structural components of living cells and tissues. The mechanical stability of networks generally depends on the degree of connectivity: only when the average number of connections between nodes exceeds the isostatic threshold are networks stable1. On increasing the connectivity through this point, such networks undergo a mechanical phase transition from a floppy to a rigid phase. However, even sub-isostatic networks become rigid when subjected to sufficiently large deformations. To study this strain-controlled transition, we perform a combination of computational modelling of fibre networks and experiments on networks of type I collagen fibres, which are crucial for the integrity of biological tissues. We show theoretically that the development of rigidity is characterized by a strain-controlled continuous phase transition with signatures of criticality. Our experiments demonstrate mechanical properties consistent with our model, including the predicted critical exponents. We show that the Nonlinear Mechanics of collagen networks can be quantitatively captured by the predictions of scaling theory for the strain-controlled critical behaviour over a wide range of network concentrations and strains up to failure of the material.
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elasticity of fibrous networks under uniaxial prestress
Soft Matter, 2016Co-Authors: M Vahabi, Albert James Licup, Abhinav Sharma, Anne Van Oosten, Peter A Galie, Paul A Janmey, F C MackintoshAbstract:We present theoretical and experimental studies of the elastic response of fibrous networks subjected to uniaxial strain. Uniaxial compression or extension is applied to extracellular networks of fibrin and collagen using a shear rheometer with free water in/outflow. Both uniaxial stress and the network shear modulus are measured. Prior work [van Oosten, et al., Sci. Rep., 2015, 6, 19270] has shown softening/stiffening of these networks under compression/extension, together with a Nonlinear response to shear, but the origin of such behaviour remains poorly understood. Here, we study how uniaxial strain influences the Nonlinear Mechanics of fibrous networks. Using a computational network model with bendable and stretchable fibres, we show that the softening/stiffening behaviour can be understood for fixed lateral boundaries in 2D and 3D networks with comparable average connectivities to the experimental extracellular networks. Moreover, we show that the onset of stiffening depends strongly on the imposed uniaxial strain. Our study highlights the importance of both uniaxial strain and boundary conditions in determining the mechanical response of hydrogels.
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Nonlinear Mechanics of athermal branched biopolymer networks
Journal of Physical Chemistry B, 2016Co-Authors: Robbie Rens, M Vahabi, Albert James Licup, F C Mackintosh, Abhinav SharmaAbstract:Naturally occurring biopolymers such as collagen and actin form branched fibrous networks. The average connectivity in branched networks is generally below the isostatic threshold at which central force interactions marginally stabilize the network. In the submarginal regime, for connectivity below this threshold, such networks are unstable toward small deformations unless stabilized by additional interactions such as bending. Here we perform a numerical study on the elastic behavior of such networks. We show that the Nonlinear Mechanics of branched networks is qualitatively similar to that of filamentous networks with freely hinged cross-links. In agreement with a recent theoretical study,1 we find that branched networks also exhibit Nonlinear Mechanics consistent with athermal critical phenomena controlled by strain. We obtain the critical exponents capturing the Nonlinear elastic behavior near the critical point by performing scaling analysis of the stiffening curves. We find that the exponents evolve ...
F C Mackintosh - One of the best experts on this subject based on the ideXlab platform.
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strain controlled criticality governs the Nonlinear Mechanics of fibre networks
Nature Physics, 2016Co-Authors: Robbie Rens, Albert James Licup, Abhinav Sharma, Karin A Jansen, M Sheinman, Gijsje H Koenderink, F C MackintoshAbstract:Fibre networks become rigid at a critical connectivity, but biopolymers giving structure to cells aren’t always well connected. Modelling and experiments on collagen networks show that their rigidity constitutes strain-controlled critical behaviour.
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strain controlled criticality governs the Nonlinear Mechanics of fibre networks
Nature Physics, 2016Co-Authors: Robbie Rens, Albert James Licup, Abhinav Sharma, Karin A Jansen, M Sheinman, Gijsje H Koenderink, F C MackintoshAbstract:Fibre networks become rigid at a critical connectivity, but biopolymers giving structure to cells aren’t always well connected. Modelling and experiments on collagen networks show that their rigidity constitutes strain-controlled critical behaviour. Disordered fibrous networks are ubiquitous in nature as major structural components of living cells and tissues. The mechanical stability of networks generally depends on the degree of connectivity: only when the average number of connections between nodes exceeds the isostatic threshold are networks stable1. On increasing the connectivity through this point, such networks undergo a mechanical phase transition from a floppy to a rigid phase. However, even sub-isostatic networks become rigid when subjected to sufficiently large deformations. To study this strain-controlled transition, we perform a combination of computational modelling of fibre networks and experiments on networks of type I collagen fibres, which are crucial for the integrity of biological tissues. We show theoretically that the development of rigidity is characterized by a strain-controlled continuous phase transition with signatures of criticality. Our experiments demonstrate mechanical properties consistent with our model, including the predicted critical exponents. We show that the Nonlinear Mechanics of collagen networks can be quantitatively captured by the predictions of scaling theory for the strain-controlled critical behaviour over a wide range of network concentrations and strains up to failure of the material.
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elasticity of fibrous networks under uniaxial prestress
Soft Matter, 2016Co-Authors: M Vahabi, Albert James Licup, Abhinav Sharma, Anne Van Oosten, Peter A Galie, Paul A Janmey, F C MackintoshAbstract:We present theoretical and experimental studies of the elastic response of fibrous networks subjected to uniaxial strain. Uniaxial compression or extension is applied to extracellular networks of fibrin and collagen using a shear rheometer with free water in/outflow. Both uniaxial stress and the network shear modulus are measured. Prior work [van Oosten, et al., Sci. Rep., 2015, 6, 19270] has shown softening/stiffening of these networks under compression/extension, together with a Nonlinear response to shear, but the origin of such behaviour remains poorly understood. Here, we study how uniaxial strain influences the Nonlinear Mechanics of fibrous networks. Using a computational network model with bendable and stretchable fibres, we show that the softening/stiffening behaviour can be understood for fixed lateral boundaries in 2D and 3D networks with comparable average connectivities to the experimental extracellular networks. Moreover, we show that the onset of stiffening depends strongly on the imposed uniaxial strain. Our study highlights the importance of both uniaxial strain and boundary conditions in determining the mechanical response of hydrogels.
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Nonlinear Mechanics of athermal branched biopolymer networks
Journal of Physical Chemistry B, 2016Co-Authors: Robbie Rens, M Vahabi, Albert James Licup, F C Mackintosh, Abhinav SharmaAbstract:Naturally occurring biopolymers such as collagen and actin form branched fibrous networks. The average connectivity in branched networks is generally below the isostatic threshold at which central force interactions marginally stabilize the network. In the submarginal regime, for connectivity below this threshold, such networks are unstable toward small deformations unless stabilized by additional interactions such as bending. Here we perform a numerical study on the elastic behavior of such networks. We show that the Nonlinear Mechanics of branched networks is qualitatively similar to that of filamentous networks with freely hinged cross-links. In agreement with a recent theoretical study,1 we find that branched networks also exhibit Nonlinear Mechanics consistent with athermal critical phenomena controlled by strain. We obtain the critical exponents capturing the Nonlinear elastic behavior near the critical point by performing scaling analysis of the stiffening curves. We find that the exponents evolve ...
Albert James Licup - One of the best experts on this subject based on the ideXlab platform.
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strain controlled criticality governs the Nonlinear Mechanics of fibre networks
Nature Physics, 2016Co-Authors: Robbie Rens, Albert James Licup, Abhinav Sharma, Karin A Jansen, M Sheinman, Gijsje H Koenderink, F C MackintoshAbstract:Fibre networks become rigid at a critical connectivity, but biopolymers giving structure to cells aren’t always well connected. Modelling and experiments on collagen networks show that their rigidity constitutes strain-controlled critical behaviour.
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strain controlled criticality governs the Nonlinear Mechanics of fibre networks
Nature Physics, 2016Co-Authors: Robbie Rens, Albert James Licup, Abhinav Sharma, Karin A Jansen, M Sheinman, Gijsje H Koenderink, F C MackintoshAbstract:Fibre networks become rigid at a critical connectivity, but biopolymers giving structure to cells aren’t always well connected. Modelling and experiments on collagen networks show that their rigidity constitutes strain-controlled critical behaviour. Disordered fibrous networks are ubiquitous in nature as major structural components of living cells and tissues. The mechanical stability of networks generally depends on the degree of connectivity: only when the average number of connections between nodes exceeds the isostatic threshold are networks stable1. On increasing the connectivity through this point, such networks undergo a mechanical phase transition from a floppy to a rigid phase. However, even sub-isostatic networks become rigid when subjected to sufficiently large deformations. To study this strain-controlled transition, we perform a combination of computational modelling of fibre networks and experiments on networks of type I collagen fibres, which are crucial for the integrity of biological tissues. We show theoretically that the development of rigidity is characterized by a strain-controlled continuous phase transition with signatures of criticality. Our experiments demonstrate mechanical properties consistent with our model, including the predicted critical exponents. We show that the Nonlinear Mechanics of collagen networks can be quantitatively captured by the predictions of scaling theory for the strain-controlled critical behaviour over a wide range of network concentrations and strains up to failure of the material.
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elasticity of fibrous networks under uniaxial prestress
Soft Matter, 2016Co-Authors: M Vahabi, Albert James Licup, Abhinav Sharma, Anne Van Oosten, Peter A Galie, Paul A Janmey, F C MackintoshAbstract:We present theoretical and experimental studies of the elastic response of fibrous networks subjected to uniaxial strain. Uniaxial compression or extension is applied to extracellular networks of fibrin and collagen using a shear rheometer with free water in/outflow. Both uniaxial stress and the network shear modulus are measured. Prior work [van Oosten, et al., Sci. Rep., 2015, 6, 19270] has shown softening/stiffening of these networks under compression/extension, together with a Nonlinear response to shear, but the origin of such behaviour remains poorly understood. Here, we study how uniaxial strain influences the Nonlinear Mechanics of fibrous networks. Using a computational network model with bendable and stretchable fibres, we show that the softening/stiffening behaviour can be understood for fixed lateral boundaries in 2D and 3D networks with comparable average connectivities to the experimental extracellular networks. Moreover, we show that the onset of stiffening depends strongly on the imposed uniaxial strain. Our study highlights the importance of both uniaxial strain and boundary conditions in determining the mechanical response of hydrogels.
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Nonlinear Mechanics of athermal branched biopolymer networks
Journal of Physical Chemistry B, 2016Co-Authors: Robbie Rens, M Vahabi, Albert James Licup, F C Mackintosh, Abhinav SharmaAbstract:Naturally occurring biopolymers such as collagen and actin form branched fibrous networks. The average connectivity in branched networks is generally below the isostatic threshold at which central force interactions marginally stabilize the network. In the submarginal regime, for connectivity below this threshold, such networks are unstable toward small deformations unless stabilized by additional interactions such as bending. Here we perform a numerical study on the elastic behavior of such networks. We show that the Nonlinear Mechanics of branched networks is qualitatively similar to that of filamentous networks with freely hinged cross-links. In agreement with a recent theoretical study,1 we find that branched networks also exhibit Nonlinear Mechanics consistent with athermal critical phenomena controlled by strain. We obtain the critical exponents capturing the Nonlinear elastic behavior near the critical point by performing scaling analysis of the stiffening curves. We find that the exponents evolve ...
Robbie Rens - One of the best experts on this subject based on the ideXlab platform.
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strain controlled criticality governs the Nonlinear Mechanics of fibre networks
Nature Physics, 2016Co-Authors: Robbie Rens, Albert James Licup, Abhinav Sharma, Karin A Jansen, M Sheinman, Gijsje H Koenderink, F C MackintoshAbstract:Fibre networks become rigid at a critical connectivity, but biopolymers giving structure to cells aren’t always well connected. Modelling and experiments on collagen networks show that their rigidity constitutes strain-controlled critical behaviour.
-
strain controlled criticality governs the Nonlinear Mechanics of fibre networks
Nature Physics, 2016Co-Authors: Robbie Rens, Albert James Licup, Abhinav Sharma, Karin A Jansen, M Sheinman, Gijsje H Koenderink, F C MackintoshAbstract:Fibre networks become rigid at a critical connectivity, but biopolymers giving structure to cells aren’t always well connected. Modelling and experiments on collagen networks show that their rigidity constitutes strain-controlled critical behaviour. Disordered fibrous networks are ubiquitous in nature as major structural components of living cells and tissues. The mechanical stability of networks generally depends on the degree of connectivity: only when the average number of connections between nodes exceeds the isostatic threshold are networks stable1. On increasing the connectivity through this point, such networks undergo a mechanical phase transition from a floppy to a rigid phase. However, even sub-isostatic networks become rigid when subjected to sufficiently large deformations. To study this strain-controlled transition, we perform a combination of computational modelling of fibre networks and experiments on networks of type I collagen fibres, which are crucial for the integrity of biological tissues. We show theoretically that the development of rigidity is characterized by a strain-controlled continuous phase transition with signatures of criticality. Our experiments demonstrate mechanical properties consistent with our model, including the predicted critical exponents. We show that the Nonlinear Mechanics of collagen networks can be quantitatively captured by the predictions of scaling theory for the strain-controlled critical behaviour over a wide range of network concentrations and strains up to failure of the material.
-
Nonlinear Mechanics of athermal branched biopolymer networks
Journal of Physical Chemistry B, 2016Co-Authors: Robbie Rens, M Vahabi, Albert James Licup, F C Mackintosh, Abhinav SharmaAbstract:Naturally occurring biopolymers such as collagen and actin form branched fibrous networks. The average connectivity in branched networks is generally below the isostatic threshold at which central force interactions marginally stabilize the network. In the submarginal regime, for connectivity below this threshold, such networks are unstable toward small deformations unless stabilized by additional interactions such as bending. Here we perform a numerical study on the elastic behavior of such networks. We show that the Nonlinear Mechanics of branched networks is qualitatively similar to that of filamentous networks with freely hinged cross-links. In agreement with a recent theoretical study,1 we find that branched networks also exhibit Nonlinear Mechanics consistent with athermal critical phenomena controlled by strain. We obtain the critical exponents capturing the Nonlinear elastic behavior near the critical point by performing scaling analysis of the stiffening curves. We find that the exponents evolve ...
F M Izrailev - One of the best experts on this subject based on the ideXlab platform.
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the fermi pasta ulam problem fifty years of progress
Chaos, 2005Co-Authors: G P Berman, F M IzrailevAbstract:A brief review of the Fermi–Pasta–Ulam (FPU) paradox is given, together with its suggested resolutions and its relation to other physical problems. We focus on the ideas and concepts that have become the core of modern Nonlinear Mechanics, in their historical perspective. Starting from the first numerical results of FPU, both theoretical and numerical findings are discussed in close connection with the problems of ergodicity, integrability, chaos and stability of motion. New directions related to the Bose–Einstein condensation and quantum systems of interacting Bose-particles are also considered.
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the fermi pasta ulam problem 50 years of progress
arXiv: Chaotic Dynamics, 2004Co-Authors: G P Berman, F M IzrailevAbstract:A brief review of the Fermi-Pasta-Ulam (FPU) paradox is given, together with its suggested resolutions and its relation to other physical problems. We focus on the ideas and concepts that have become the core of modern Nonlinear Mechanics, in their historical perspective. Starting from the first numerical results of FPU, both theoretical and numerical findings are discussed in close connection with the problems of ergodicity, integrability, chaos and stability of motion. New directions related to the Bose-Einstein condensation and quantum systems of interacting Bose-particles are also considered.
