A morphoelastic stability framework for post-critical pattern formation in growing thin biomaterials
From MaRDI portal
Publication:2136701
DOI10.1016/j.cma.2022.114839OpenAlexW4221047419MaRDI QIDQ2136701
Publication date: 12 May 2022
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2022.114839
Finite element methods applied to problems in solid mechanics (74S05) Biomechanical solid mechanics (74L15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The mathematics and mechanics of biological growth
- Circumferential buckling instability of a growing cylindrical tube
- Growing skin: a computational model for skin expansion in reconstructive surgery
- On the mechanics of growing thin biological membranes
- Computational aspects of growth-induced instabilities through eigenvalue analysis
- On a stress resultant geometrically exact shell model. I: Formulation and optimal parametrization
- A large deformation, rotation-free, isogeometric shell
- Morphogenesis of thin hyperelastic plates: A constitutive theory of biological growth in the Föppl-von Kármán limit
- The role of mechanics during brain development
- Nonlinear shell formulations for complete three-dimensional constitutive laws including composites and laminates
- Computational modeling of growth. A critical review, a classification of concepts and two new consistent approaches
- On the physical significance of higher-order kinematic and static variables in a three-dimensional shell formulation
- A seven-parameter spectral/\(hp\) finite element formulation for isotropic, laminated composite and functionally graded shell structures
- Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate reversible Hamiltonian-Hopf bifurcation
- On the mechanics of solids with a growing mass.
- Structural instability analyses based on generalised path-following
- Generalised path-following for well-behaved nonlinear structures
- Growth and instability in elastic tissues
- The shape of a long leaf
- Shaping of Elastic Sheets by Prescription of Non-Euclidean Metrics
- A general procedure for the direct computation of turning and bifurcation points
- The Calculation of Turning Points of Nonlinear Equations
- Shell theory versus degeneration—a comparison in large rotation finite element analysis
- On the role of localizations in buckling of axially compressed cylinders
- Maxwell tipping points: the hidden mechanics of an axially compressed cylindrical shell
- A class of mixed assumed strain methods and the method of incompatible modes
- Revisiting the wrinkling of elastic bilayers I: linear analysis
- On the Theory of Bending of Elastic Plates
