The Experts below are selected from a list of 57 Experts worldwide ranked by ideXlab platform
Sh Hosseinihashemi - One of the best experts on this subject based on the ideXlab platform.
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application of the Generalized Hooke s law for viscoelastic materials ghvms in nanoscale mass sensing applications of viscoelastic nanoplates a theoretical study
European Journal of Mechanics A-solids, 2018Co-Authors: K Rajabi, Sh HosseinihashemiAbstract:Abstract Reviewing the literature reveals that in all previous research works related to the damped vibration analysis of nanoplates except (Rajabi and Hosseini-Hashemi, 2017a), the material damping of nanoplates has been represented by the Kelvin-Voigt model without any reasonable justification. The Kelvin-Voigt model has no instantaneous elasticity in creep and also shows unrealistic behavior in relaxation. Due to these drawbacks, the Kelvin-Voigt model fails to capture time domain characteristics of viscoelastic solid materials correctly. On the other hand, the Zener model can predict both creep and relaxation functions of a viscoelastic solid material well in the time domain. In the present paper based on the combination of Generalized Hooke's law for viscoelastic materials (GHVMs) and the nonlocal elasticity theory, a general 2-D theory of nonlocal viscoelasticity is obtained. A nanoscale mass-sensor is proposed based on the damped vibration analysis of a viscoelastic orthotropic Kirchhoff-Love nanoplate. The material damping of the nanoplate is represented by the Zener model for illustration purposes. For simply supported boundary conditions, analytical expression is obtained for the eigenfrequencies of the sensor.
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on the application of viscoelastic orthotropic double nanoplates systems as nanoscale mass sensors via the Generalized Hooke s law for viscoelastic materials and eringen s nonlocal elasticity theory
Composite Structures, 2017Co-Authors: K Rajabi, Sh HosseinihashemiAbstract:Abstract Reviewing the literature reveals that in all previous research works related to the damped vibration analysis of nanoplates, the material damping of nanoplates has been represented by Kelvin-Voigt model without any reasonable justification. The Kelvin-Voigt model has no instantaneous elasticity in creep and also shows unrealistic behavior in relaxation. Due to these drawbacks, the Kelvin-Voigt model fails to capture time domain characteristics of viscoelastic solid materials correctly. On the other hand, the Zener model can predict both creep and relaxation functions of a viscoelastic solid material well in the time domain. The Generalized Hooke’s law for viscoelastic materials (GHLVMs) bridges the differential form of linear viscoelasticity and the integral form of linear viscoelasticity. In the present study based on the combination of GHLVMs and the nonlocal elasticity theory, a general 2-D theory of nonlocal viscoelasticity is obtained. A nanoscale mass-sensor is proposed based on the damped frequency analysis of a viscoelastic orthotropic double-nanoplates system (VODNS). The material damping of the nanoplates is represented by the Zener model. It has been assumed that the nanoplates obey the Kirchhoff-Love plate hypotheses. Detailed parametric study is presented.
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application of the Generalized Hooke s law for viscoelastic materials ghvms in nonlocal free damped vibration analysis of viscoelastic orthotropic nanoplates
International Journal of Mechanical Sciences, 2017Co-Authors: K Rajabi, Sh HosseinihashemiAbstract:Abstract Reviewing the literature reveals that in all previous research works related to the damped vibration analysis of nanoplates, the material damping of nanoplates has been represented by Kelvin-Voigt model without any reasonable justification. Recently a refined 3-D theory of linear viscoelasticity termed the Generalized Hooke's law for viscoelastic materials (GHVMs), is developed by Rajabi and Hosseini-Hashemi [1] . In that theory new 3-D linear viscoelastic constitutive equations are derived which bridge the differential form of linear viscoelasticity and the integral form of linear viscoelasticity. In the present paper vibration characteristics of simply supported orthotropic nanoplates are studied using the nonlocal Kirchhoff-Love plate theory in conjunction with GHVMs. Using GHVMs the material damping of the nanoplates is represented by other rheological models namely the Maxwell model and the standard linear solid model for illustration purposes. Results have revealed that for the same physical and geometrical properties and also for the same contents of damping, the characteristic of various rheological models differ considerably from each other. This indicates that for correct and accurate modeling of 2-D and 3-D viscoelasticity problems in nanoscale it is crucial to perform the material characterization experimentally or by MD simulation.
K Rajabi - One of the best experts on this subject based on the ideXlab platform.
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application of the Generalized Hooke s law for viscoelastic materials ghvms in nanoscale mass sensing applications of viscoelastic nanoplates a theoretical study
European Journal of Mechanics A-solids, 2018Co-Authors: K Rajabi, Sh HosseinihashemiAbstract:Abstract Reviewing the literature reveals that in all previous research works related to the damped vibration analysis of nanoplates except (Rajabi and Hosseini-Hashemi, 2017a), the material damping of nanoplates has been represented by the Kelvin-Voigt model without any reasonable justification. The Kelvin-Voigt model has no instantaneous elasticity in creep and also shows unrealistic behavior in relaxation. Due to these drawbacks, the Kelvin-Voigt model fails to capture time domain characteristics of viscoelastic solid materials correctly. On the other hand, the Zener model can predict both creep and relaxation functions of a viscoelastic solid material well in the time domain. In the present paper based on the combination of Generalized Hooke's law for viscoelastic materials (GHVMs) and the nonlocal elasticity theory, a general 2-D theory of nonlocal viscoelasticity is obtained. A nanoscale mass-sensor is proposed based on the damped vibration analysis of a viscoelastic orthotropic Kirchhoff-Love nanoplate. The material damping of the nanoplate is represented by the Zener model for illustration purposes. For simply supported boundary conditions, analytical expression is obtained for the eigenfrequencies of the sensor.
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on the application of viscoelastic orthotropic double nanoplates systems as nanoscale mass sensors via the Generalized Hooke s law for viscoelastic materials and eringen s nonlocal elasticity theory
Composite Structures, 2017Co-Authors: K Rajabi, Sh HosseinihashemiAbstract:Abstract Reviewing the literature reveals that in all previous research works related to the damped vibration analysis of nanoplates, the material damping of nanoplates has been represented by Kelvin-Voigt model without any reasonable justification. The Kelvin-Voigt model has no instantaneous elasticity in creep and also shows unrealistic behavior in relaxation. Due to these drawbacks, the Kelvin-Voigt model fails to capture time domain characteristics of viscoelastic solid materials correctly. On the other hand, the Zener model can predict both creep and relaxation functions of a viscoelastic solid material well in the time domain. The Generalized Hooke’s law for viscoelastic materials (GHLVMs) bridges the differential form of linear viscoelasticity and the integral form of linear viscoelasticity. In the present study based on the combination of GHLVMs and the nonlocal elasticity theory, a general 2-D theory of nonlocal viscoelasticity is obtained. A nanoscale mass-sensor is proposed based on the damped frequency analysis of a viscoelastic orthotropic double-nanoplates system (VODNS). The material damping of the nanoplates is represented by the Zener model. It has been assumed that the nanoplates obey the Kirchhoff-Love plate hypotheses. Detailed parametric study is presented.
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application of the Generalized Hooke s law for viscoelastic materials ghvms in nonlocal free damped vibration analysis of viscoelastic orthotropic nanoplates
International Journal of Mechanical Sciences, 2017Co-Authors: K Rajabi, Sh HosseinihashemiAbstract:Abstract Reviewing the literature reveals that in all previous research works related to the damped vibration analysis of nanoplates, the material damping of nanoplates has been represented by Kelvin-Voigt model without any reasonable justification. Recently a refined 3-D theory of linear viscoelasticity termed the Generalized Hooke's law for viscoelastic materials (GHVMs), is developed by Rajabi and Hosseini-Hashemi [1] . In that theory new 3-D linear viscoelastic constitutive equations are derived which bridge the differential form of linear viscoelasticity and the integral form of linear viscoelasticity. In the present paper vibration characteristics of simply supported orthotropic nanoplates are studied using the nonlocal Kirchhoff-Love plate theory in conjunction with GHVMs. Using GHVMs the material damping of the nanoplates is represented by other rheological models namely the Maxwell model and the standard linear solid model for illustration purposes. Results have revealed that for the same physical and geometrical properties and also for the same contents of damping, the characteristic of various rheological models differ considerably from each other. This indicates that for correct and accurate modeling of 2-D and 3-D viscoelasticity problems in nanoscale it is crucial to perform the material characterization experimentally or by MD simulation.
Ghassan S Kassab - One of the best experts on this subject based on the ideXlab platform.
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the validation of a Generalized Hooke s law for coronary arteries
American Journal of Physiology-heart and Circulatory Physiology, 2008Co-Authors: Chong Wang, Wei Zhang, Ghassan S KassabAbstract:The exponential form of constitutive model is widely used in biomechanical studies of blood vessels. There are two main issues, however, with this model: 1) the curve fits of experimental data are ...
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the mathematical formulation of a Generalized Hooke s law for blood vessels
Biomaterials, 2007Co-Authors: Wei Zhang, Chong Wang, Ghassan S KassabAbstract:It is well known that the stress-strain relationship of blood vessels is highly nonlinear. To linearize the relationship, the Hencky strain tensor is Generalized to a logarithmic-exponential (log-exp) strain tensor to absorb the nonlinearity. A quadratic nominal strain potential is proposed to derive the second Piola-Kirchhoff stresses by differentiating the potential with respect to the log-exp strains. The resulting constitutive equation is a Generalized Hooke's law. Ten material constants are needed for the three-dimensional orthotropic model. The nondimensional constant used in the log-exp strain definition is interpreted as a nonlinearity parameter. The other nine constants are the elastic moduli with respect to the log-exp strains. In this paper, the proposed linear stress-strain relation is shown to represent the pseudoelastic Fung model very well.
Wei Zhang - One of the best experts on this subject based on the ideXlab platform.
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the validation of a Generalized Hooke s law for coronary arteries
American Journal of Physiology-heart and Circulatory Physiology, 2008Co-Authors: Chong Wang, Wei Zhang, Ghassan S KassabAbstract:The exponential form of constitutive model is widely used in biomechanical studies of blood vessels. There are two main issues, however, with this model: 1) the curve fits of experimental data are ...
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the mathematical formulation of a Generalized Hooke s law for blood vessels
Biomaterials, 2007Co-Authors: Wei Zhang, Chong Wang, Ghassan S KassabAbstract:It is well known that the stress-strain relationship of blood vessels is highly nonlinear. To linearize the relationship, the Hencky strain tensor is Generalized to a logarithmic-exponential (log-exp) strain tensor to absorb the nonlinearity. A quadratic nominal strain potential is proposed to derive the second Piola-Kirchhoff stresses by differentiating the potential with respect to the log-exp strains. The resulting constitutive equation is a Generalized Hooke's law. Ten material constants are needed for the three-dimensional orthotropic model. The nondimensional constant used in the log-exp strain definition is interpreted as a nonlinearity parameter. The other nine constants are the elastic moduli with respect to the log-exp strains. In this paper, the proposed linear stress-strain relation is shown to represent the pseudoelastic Fung model very well.
Chong Wang - One of the best experts on this subject based on the ideXlab platform.
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the validation of a Generalized Hooke s law for coronary arteries
American Journal of Physiology-heart and Circulatory Physiology, 2008Co-Authors: Chong Wang, Wei Zhang, Ghassan S KassabAbstract:The exponential form of constitutive model is widely used in biomechanical studies of blood vessels. There are two main issues, however, with this model: 1) the curve fits of experimental data are ...
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the mathematical formulation of a Generalized Hooke s law for blood vessels
Biomaterials, 2007Co-Authors: Wei Zhang, Chong Wang, Ghassan S KassabAbstract:It is well known that the stress-strain relationship of blood vessels is highly nonlinear. To linearize the relationship, the Hencky strain tensor is Generalized to a logarithmic-exponential (log-exp) strain tensor to absorb the nonlinearity. A quadratic nominal strain potential is proposed to derive the second Piola-Kirchhoff stresses by differentiating the potential with respect to the log-exp strains. The resulting constitutive equation is a Generalized Hooke's law. Ten material constants are needed for the three-dimensional orthotropic model. The nondimensional constant used in the log-exp strain definition is interpreted as a nonlinearity parameter. The other nine constants are the elastic moduli with respect to the log-exp strains. In this paper, the proposed linear stress-strain relation is shown to represent the pseudoelastic Fung model very well.