Incremental deformations and bifurcation of elastic solids reinforced by fibers with intrinsic extensional, flexural, and torsional elasticity DOI
Ryan C. McAvoy, David J. Steigmann

Journal of Applied Mechanics, Journal Year: 2024, Volume and Issue: 92(1)

Published: Nov. 14, 2024

Abstract We present a model for incremental deformations of an elastic solid reinforced by single family fibers that offer resistance to extension, flexure, and torsion. The theory is cast in the setting small-on-large provides framework multiscale analysis bifurcation equilibria fibrous composites. based on three-dimensional Cosserat elasticity which fiber kinematics are controlled rotation field weakly coupled bulk deformation through pointwise fiber-materiality constraint. Fiber–matrix interaction forces explicitly accounted via attendant Lagrange multipliers. demonstrate utility investigating onset incompressible fiber-reinforced half-plane. In particular, we study influence axial stiffness, flexural fiber–matrix planar buckling modes. envisage problems biological industrial relevance with view gaining better insight into roles bending, twisting, regulating

Language: Английский

Patient-specific coronary angioplasty simulations — A mixed-dimensional finite element modeling approach DOI Creative Commons

Janina C. Datz,

Ivo Steinbrecher, Christoph Meier

et al.

Computers in Biology and Medicine, Journal Year: 2025, Volume and Issue: 189, P. 109914 - 109914

Published: March 10, 2025

Coronary angioplasty with stent implantation is the most frequently used interventional treatment for coronary artery disease. However, reocclusion within stent, referred to as in-stent restenosis, occurs in up 10% of lesions. It widely accepted that mechanical loads on vessel wall strongly affect adaptive and maladaptive mechanisms. Yet, role procedural lesion-specific influence restenosis risk remains understudied. Computational modeling stenting procedure can provide new mechanistic insights, such local stresses, play a significant tissue growth remodeling. Previous simulation studies often featured simplified geometries cannot be applied real-world examples. Realistic simulations were computationally expensive since they fully resolved device models. The aim this work develop present mixed-dimensional formulation simulate patient-specific reduced-dimensional beam model 3D models artery. In addition presenting numerical approach, we apply it realistic cases study intervention's effect correlate findings potential high-risk locations restenosis. We found high stresses during intervention severely stenosed areas at boundaries. Herewith, lay groundwork further towards preventing after angioplasty.

Language: Английский

Citations

0

Incremental deformations and bifurcation of elastic solids reinforced by fibers with intrinsic extensional, flexural, and torsional elasticity DOI
Ryan C. McAvoy, David J. Steigmann

Journal of Applied Mechanics, Journal Year: 2024, Volume and Issue: 92(1)

Published: Nov. 14, 2024

Abstract We present a model for incremental deformations of an elastic solid reinforced by single family fibers that offer resistance to extension, flexure, and torsion. The theory is cast in the setting small-on-large provides framework multiscale analysis bifurcation equilibria fibrous composites. based on three-dimensional Cosserat elasticity which fiber kinematics are controlled rotation field weakly coupled bulk deformation through pointwise fiber-materiality constraint. Fiber–matrix interaction forces explicitly accounted via attendant Lagrange multipliers. demonstrate utility investigating onset incompressible fiber-reinforced half-plane. In particular, we study influence axial stiffness, flexural fiber–matrix planar buckling modes. envisage problems biological industrial relevance with view gaining better insight into roles bending, twisting, regulating

Language: Английский

Citations

1