Biomechanical modeling of surface wrinkling of soft tissues with growth-dependent mechanical properties

Acta Mechanica Solida Sinica - Tập 25 Số 5 - Trang 483-492 - 2012
Yanping Cao1, Yi Jiang1, Bo Li1, Xi‐Qiao Feng1
1Institute of Biomechanics and Medical Engineering, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China

Tóm tắt

Từ khóa


Tài liệu tham khảo

Humphrey, 2003, Continuum biomechanics of soft biological tissues, Proceedings of the Royal Society, A459, 3, 10.1098/rspa.2002.1060

Li, 2012, Mechanics of morphological instabilities and surface wrinkling in soft materials: A review, Soft Matter, 8, 5728, 10.1039/c2sm00011c

Ben Amar, 2005, Growth and instability in elastic tissues, Journal of the Mechanics and Physics of Solids, 53, 2284, 10.1016/j.jmps.2005.04.008

Taber, 1995, Biomechanics of growth, remodeling, and morphogenesis, Applied Mechanics Reviews, 48, 487, 10.1115/1.3005109

Dervaux, 2011, Buckling condensation in constrained growth, Journal of the Mechanics and Physics of Solids, 59, 538, 10.1016/j.jmps.2010.12.015

Anderson, 2006, Tumor morphology and phenotypic evolution driven by selective pressure from the microenvironment, Cell, 127, 905, 10.1016/j.cell.2006.09.042

Rodriguez, 1994, Stress-dependent finite growth in soft elastic tissues, Journal of Biomechanics, 27, 455, 10.1016/0021-9290(94)90021-3

Humphrey, 2002, A constrained mixture model for growth and remodeling of soft tissues, Mathematical Models and Methods in Applied Sciences, 12, 407, 10.1142/S0218202502001714

Ambrosi, 2010, The insight of mixtures theory for growth and remodeling, Zeitschrift fur Angewandte Mathematik und Physik, 61, 177, 10.1007/s00033-009-0037-8

Goriely, 2005, Differential growth and instability in elastic shells, Physical Review Letters, 94, 198103, 10.1103/PhysRevLett.94.198103

Li, 2011, Surface wrinkling patterns on a core-shell soft sphere, Physical Review Letters, 106, 234301, 10.1103/PhysRevLett.106.234301

Li, 2011, Growth and surface folding of esophageal mucosa: a biomechanical model, Journal of Biomechanics, 44, 182, 10.1016/j.jbiomech.2010.09.007

Li, 2011, Surface wrinkling of mucosa induced by volumetric growth: theory, simulation and experiment, Journal of the Mechanics and Physics of Solids, 59, 758, 10.1016/j.jmps.2011.01.010

Jin, 2011, Suo, Z.G, Creases in soft tissues generated by growth, Europhysics Letters, 95, 64002, 10.1209/0295-5075/95/64002

Savin, 2011, On the growth and form of the gut, Nature, 476, 57, 10.1038/nature10277

Kuwazuru, 2008, Mechanical approach to aging and wrinkling of human facial skin based on the multistage buckling theory, Medical Engineering and Physics, 30, 516, 10.1016/j.medengphy.2007.06.001

Zhou, 2009, Actomyosin stiffens the vertebrate embryo during crucial stages of elongation and neural tube closure, Development, 136, 677, 10.1242/dev.026211

Biot, 1965, Internal instability of anisotropic viscous and viscoelastic media under initial stress, Journal of the Franklin Institute, 279, 65, 10.1016/0016-0032(65)90207-3

Ogden, 1984

Abaqus. Abaqus analysis user's manual, version 6.8, 2008.

Ansys. Ansys analysis user's manual, 2008.

Stojanović, 1964, On finite thermal deformations, Archiwum Mechaniki Stosowanej, 16, 103

Meissonnier, 2001, Finite element implementation of a generalized non-local rate-dependent crystallographic formulation for finite strains, International Journal of Plasticity, 17, 601, 10.1016/S0749-6419(00)00064-4

Stoop, 2010, Self-contact and instabilities in the anisotropic growth of elastic membranes, Physical Review Letters, 105, 068101, 10.1103/PhysRevLett.105.068101

Cao, 2012, From wrinkles to creases in elastomers: the instability and imperfection-sensitivity of wrinkling, Proceedings of the Royal Society, A468, 94, 10.1098/rspa.2011.0384

Cao, 2012, Wrinkling phenomena in neo-Hookean film/substrate bilayers, Journal of Applied Mechanics, 79, 031019, 10.1115/1.4005960

Jia, 2012, Wrinkling of a bilayer resting on a compliant substrate, Philosophical Magazine, 92, 1554, 10.1080/14786435.2011.652691

Cao, 2012, Surface wrinkling and folding of core-shell soft cylinders, Soft Matter, 8, 556, 10.1039/C1SM06354E

Magnenat-Thalmann, 2002, A computational skin model: fold and wrinkle formation, IEEE Transactions on Information Technology in Biomedicine, 6, 317, 10.1109/TITB.2002.806097

Flynn, 2010, Simulating the wrinkling and aging of skin with a multi-layer finite element model, Journal of Biomechanics, 43, 442, 10.1016/j.jbiomech.2009.10.007

Tracqui, 2009, Biophysical models of tumour growth, Reports on Progress in Physics, 72, 056701, 10.1088/0034-4885/72/5/056701

Cristini, 2005, Morphologic instability and cancer invasion, Clinical Cancer Research, 11, 6772, 10.1158/1078-0432.CCR-05-0852

Wirtz, 2011, The physics of cancer: the role of physical interactions and mechanical forces in metastasis, Nature Reviews Cancer, 11, 512, 10.1038/nrc3080