A finite strain fibre-reinforced viscoelasto-viscoplastic model of plant cell wall growth
نویسندگان
چکیده
منابع مشابه
An anisotropic-viscoplastic model of plant cell morphogenesis by tip growth.
Plant cell morphogenesis depends critically on two processes: the deposition of new wall material at the cell surface and the mechanical deformation of this material by the stresses resulting from the cell's turgor pressure. We developed a model of plant cell morphogenesis that is a first attempt at integrating these two processes. The model is based on the theories of thin shells and anisotrop...
متن کاملNumerical Implementation of a Large-strain Model of Porous Fibre-reinforced Tissues
INTRODUCTION Soft biological tissues, such as articular cartilage, can be represented by a porous matrix saturated by a fluid and reinforced by a network of statistically oriented fibres. The permeability of such tissues has been previously modelled and implemented for small deformations [1,2]. Recently, a new mathematical model has been proposed for the study of permeability under large deform...
متن کاملFractional Thermoelasticity Model of a 2D Problem of Mode-I Crack in a Fibre-Reinforced Thermal Environment
A model of fractional-order of thermoelasticity is applied to study a 2D problem of mode-I crack in a fibre-reinforced thermal environment. The crack is under prescribed distributions of heat and pressure. The normal mode analysis is applied to deduce exact formulae for displacements, stresses, and temperature. Variations of field quantities with the axial direction are illustrated graphically....
متن کاملHomogenization of a Viscoelastic Model for Plant Cell Wall Biomechanics
The microscopic structure of a plant cell wall is given by cellulose microfibrils embedded in a cell wall matrix. In this paper we consider a microscopic model for interactions between viscoelastic deformations of a plant cell wall and chemical processes in the cell wall matrix. We consider elastic deformations of the cell wall microfibrils and viscoelastic Kelvin–Voigt type deformations of the...
متن کاملArabidopsis - a powerful model system for plant cell wall research.
Plant cell walls are composites of various carbohydrates, proteins and other compounds. Cell walls provide plants with strength and protection, and also represent the most abundant source of renewable biomass. Despite the importance of plant cell walls, comparatively little is known about the identities of genes and functions of proteins involved in their biosynthesis. The model plant Arabidops...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Engineering Mathematics
سال: 2015
ISSN: 0022-0833,1573-2703
DOI: 10.1007/s10665-014-9761-y