Relaterad länk: The underlying Euler-Lagrange equations for minimizing the total energy are written in terms of these deformation factors, where the active part is assumed to depend, at the cell level, on the electrodynamics and on the specific orientation of the cardiomyocytes. There, an incompatible intermediate configuration is considered, which entails a multiplicative decomposition between active and passive deformation gradients. A model for the active deformation of cardiac tissue considering orthotropic constitutive laws is introduced and studied. The active strain formulation is compared with the classical active stress model from both numerical and modeling perspectives. A model for the active deformation of cardiac tissue considering orthotropic constitutive laws is introduced and studied. In particular, the passive mechanical properties of the myocardium are described by the Holzapfel-Ogden relation, whereas the activation model is based on the concept of active strain. An affine continuum mechanical model for cross-linked F-actin networks with compliant linker proteins. Some new aspects of the continuum strong discontinuity approach (CSDA) to model material failure in geomaterials are addressed. There, an incompatible intermediate configuration is considered, which entails a multiplicative decomposition between active and passive deformation gradients. In particular, the passive mechanical properties of the myocardium are described by the Holzapfel-Ogden relation, whereas the activation model is based on the concept of active strain. in color. Taylor-Hood and MINI finite elements are used in the discretization of the overall mechanical problem. This website uses cookies to function and to improve your experience. 1. Journal of elasticity, 61(1), 1-48.This model example illustrates applications of this type that would nominally be built using the following products:however, additional products may be required to completely define and model it. International Journal for Numerical Methods in Biomedical EngineeringOrthotropic active strain models for the numerical simulation of cardiac biomechanicsInternational Journal for Numerical Methods in Biomedical EngineeringOrthotropic active strain models for the numerical simulation of cardiac biomechanicsInternational Journal for Numerical Methods in Biomedical EngineeringOrthotropic active strain models for the numerical simulation of cardiac biomechanicsInternational Journal for Numerical Methods in Biomedical Engineering title = "Orthotropic active strain models for the numerical simulation of cardiac biomechanics", abstract = "A model for the active deformation of cardiac tissue considering orthotropic constitutive laws is introduced and studied. (författare) SpringerLink (Online service) ISBN 9789400754645 Publicerad: Dordrecht : Springer Netherlands : 2013 Engelska XI, 413 p. 153 illus., 83 illus. The results of several numerical experiments show that the proposed formulation is mathematically consistent and is able to represent the main features of the phenomenon, while allowing savings in computational costs.AB - A model for the active deformation of cardiac tissue considering orthotropic constitutive laws is introduced and studied. The well-posedness of the linear system derived from a generic Newton iteration of the original problem is analyzed, and different mechanical activation functions are considered.
The results of several numerical experiments show that the proposed formulation is mathematically consistent and is able to represent the main features of the phenomenon, while allowing savings in computational costs. Furthermore, this example may also be defined and modeled using components from the following product combinations: