A unified theoretical structure for modeling interstitial growth and muscle activation in soft tissues
From MaRDI portal
Publication:1623089
DOI10.1016/j.ijengsci.2014.12.005zbMath1423.74628OpenAlexW2056750762MaRDI QIDQ1623089
M. B. Rubin, M. M. Safadi, Mahmood Jabareen
Publication date: 23 November 2018
Published in: International Journal of Engineering Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijengsci.2014.12.005
large deformationhomeostatic statesoft tissuemuscle activationtissue growthstrongly objective numerical integration
Biomechanics (92C10) Biomechanical solid mechanics (74L15) Theory of constitutive functions in solid mechanics (74A20)
Related Items
Significant differences in the mechanical modeling of confined growth predicted by the Lagrangian and Eulerian formulations ⋮ A new approach to modeling early cardiac morphogenesis during c-looping ⋮ A new analysis of stresses in arteries based on an Eulerian formulation of growth in tissues ⋮ Modelling cardiac tissue growth and remodelling ⋮ An Eulerian formulation of a growing constrained elastic-viscoplastic generalized membrane ⋮ An elastic-viscoplastic model with non-affine deformation and rotation of a distribution of embedded fibres ⋮ Relativistic constitutive modeling of inelastic deformation of continua moving in space-time ⋮ An anisotropic stress-driven growth model for soft tissue based on Eulerian deformation tensor and growth potential ⋮ Advantages of formulating an evolution equation directly for elastic distortional deformation in finite deformation plasticity ⋮ A model for irreversible deformation phenomena driven by hydrostatic stress, deviatoric stress and an externally applied field ⋮ An Eulerian formulation of inelasticity: from metal plasticity to growth of biological tissues ⋮ Micromorphic balance equations in mass transport and mass production
Cites Work
- Unnamed Item
- Unnamed Item
- Perspectives on biological growth and remodeling
- Modeling a smooth elastic-inelastic transition with a strongly objective numerical integrator needing no iteration
- On the mechanics of growing thin biological membranes
- On the mechanics of a growing tumor
- Continuum kinematical modeling of mass increasing biological growth
- On non-physical response in models for fiber-reinforced hyperelastic materials
- Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
- Hyperbolic heat conduction and the second law
- Bone remodelling. I: Theory of adaptive elasticity
- On the treatment of elastic deformation in finite elastic-viscoplastic theory
- Thermomechanics of volumetric growth in uniform bodies
- Removal of unphysical arbitrariness in constitutive equations for elastically anisotropic nonlinear elastic-viscoplastic solids
- Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions.
- On the mechanics of solids with a growing mass.
- A three-dimensional nonlinear model for dissipative response of soft tissue.
- Mechanics of the inelastic behavior of materials. I: Theoretical underpinnings
- Mathematical physiology. I: Cellular physiology
- Nonequilibrium thermodynamics and rheology of viscoelastic polymer media
- A CONSTRAINED MIXTURE MODEL FOR GROWTH AND REMODELING OF SOFT TISSUES
- CALCULATION OF HYPERELASTIC RESPONSE OF FINITELY DEFORMED ELASTIC-VISCOPLASTIC MATERIALS
- Elastic-Plastic Deformation at Finite Strains
- The Thermodynamics of Irreversible Processes. IV. The Theory of Elasticity and Anelasticity
