14,731 research outputs found
Structural Optimisation: Biomechanics of the Femur
A preliminary iterative 3D meso-scale structural model of the femur was
developed, in which bar and shell elements were used to represent trabecular
and cortical bone respectively. The cross-sectional areas of the bar elements
and the thickness values of the shell elements were adjusted over successive
iterations of the model based on a target strain stimulus, resulting in an
optimised construct. The predicted trabecular architecture, and cortical
thickness distribution showed good agreement with clinical observations, based
on the application of a single leg stance load case during gait. The benefit of
using a meso-scale structural approach in comparison to micro or macro-scale
continuum approaches to predictive bone modelling was achievement of the
symbiotic goals of computational efficiency and structural description of the
femur.Comment: Accepted by Engineering and Computational Mechanics (Proceedings of
the ICE
New Mechanics of Traumatic Brain Injury
The prediction and prevention of traumatic brain injury is a very important
aspect of preventive medical science. This paper proposes a new coupled
loading-rate hypothesis for the traumatic brain injury (TBI), which states that
the main cause of the TBI is an external Euclidean jolt, or SE(3)-jolt, an
impulsive loading that strikes the head in several coupled degrees-of-freedom
simultaneously. To show this, based on the previously defined covariant force
law, we formulate the coupled Newton-Euler dynamics of brain's micro-motions
within the cerebrospinal fluid and derive from it the coupled SE(3)-jolt
dynamics. The SE(3)-jolt is a cause of the TBI in two forms of brain's rapid
discontinuous deformations: translational dislocations and rotational
disclinations. Brain's dislocations and disclinations, caused by the
SE(3)-jolt, are described using the Cosserat multipolar viscoelastic continuum
brain model.
Keywords: Traumatic brain injuries, coupled loading-rate hypothesis,
Euclidean jolt, coupled Newton-Euler dynamics, brain's dislocations and
disclinationsComment: 18 pages, 1 figure, Late
A novel model for one-dimensional morphoelasticity. Part I - Theoretical foundations
While classical continuum theories of elasticity and viscoelasticity have long been used to describe the mechanical behaviour of solid biological tissues, they are of limited use for the description of biological tissues that undergo continuous remodelling. The structural changes to a soft tissue associated with growth and remodelling require a mathematical theory of ‘morphoelasticity’ that is more akin to plasticity than elasticity. However, previously-derived mathematical models for plasticity are difficult to apply and interpret in the context of growth and remodelling: many important concepts from the theory of plasticity do not have simple analogues in biomechanics.\ud
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In this work, we describe a novel mathematical model that combines the simplicity and interpretability of classical viscoelastic models with the versatility of plasticity theory. While our focus here is on one-dimensional problems, our model builds on earlier work based on the multiplicative decomposition of the deformation gradient and can be adapted to develop a three-dimensional theory. The foundation of this work is the concept of ‘effective strain’, a measure of the difference between the current state and a hypothetical state where the tissue is mechanically relaxed. We develop one-dimensional equations for the evolution of effective strain, and discuss a number of potential applications of this theory. One significant application is the description of a contracting fibroblast-populated collagen lattice, which we further investigate in Part II
A Muscle Model Based on Feldman's Lambda Model: 3D Finite Element Implementation
This paper presents the introduction of Feldman's muscle model in a three
dimensional continuum finite element model of the human face. This model is
compared to the classical Hill-type muscle modelComment: CMBBE'2013, Salt Lake City : United States (2013
A multiscale mechanobiological model of bone remodelling predicts site-specific bone loss in the femur during osteoporosis and mechanical disuse
We propose a multiscale mechanobiological model of bone remodelling to
investigate the site-specific evolution of bone volume fraction across the
midshaft of a femur. The model includes hormonal regulation and biochemical
coupling of bone cell populations, the influence of the microstructure on bone
turnover rate, and mechanical adaptation of the tissue. Both microscopic and
tissue-scale stress/strain states of the tissue are calculated from macroscopic
loads by a combination of beam theory and micromechanical homogenisation.
This model is applied to simulate the spatio-temporal evolution of a human
midshaft femur scan subjected to two deregulating circumstances: (i)
osteoporosis and (ii) mechanical disuse. Both simulated deregulations led to
endocortical bone loss, cortical wall thinning and expansion of the medullary
cavity, in accordance with experimental findings. Our model suggests that these
observations are attributable to a large extent to the influence of the
microstructure on bone turnover rate. Mechanical adaptation is found to help
preserve intracortical bone matrix near the periosteum. Moreover, it leads to
non-uniform cortical wall thickness due to the asymmetry of macroscopic loads
introduced by the bending moment. The effect of mechanical adaptation near the
endosteum can be greatly affected by whether the mechanical stimulus includes
stress concentration effects or not.Comment: 25 pages, 10 figure
Remodeling of biological tissue: Mechanically induced reorientation of a transversely isotropic chain network
A new class of micromechanically motivated chain network models for soft
biological tissues is presented. On the microlevel, it is based on the
statistics of long chain molecules. A wormlike chain model is applied to
capture the behavior of the collagen microfibrils. On the macrolevel, the
network of collagen chains is represented by a transversely isotropic eight
chain unit cell introducing one characteristic material axis. Biomechanically
induced remodeling is captured by allowing for a continuous reorientation of
the predominant unit cell axis driven by a biomechanical stimulus. To this end,
we adopt the gradual alignment of the unit cell axis with the direction of
maximum principal strain. The evolution of the unit cell axis' orientation is
governed by a first-order rate equation. For the temporal discretization of the
remodeling rate equation, we suggest an exponential update scheme of
Euler-Rodrigues type. For the spatial discretization, a finite element strategy
is applied which introduces the current individual cell orientation as an
internal variable on the integration point level. Selected model problems are
analyzed to illustrate the basic features of the new model. Finally, the
presented approach is applied to the biomechanically relevant boundary value
problem of an in vitro engineered functional tendon construct.Comment: LaTeX2e, 19 pages, 9 figure
A FEM-experimental approach for the development of a conceptual linear actuator based on tendril's free coiling
Within the vastness of the plant species, certain living systems show tendril structures whose motion is of particular interest for biomimetic engineers. Tendrils sense and coil around suitable grips, and by shortening in length, they erect the remaining plant body. To achieve contraction, tendrils rotate along their main axis and shift from a linear to a double-spring geometry. This phenomenon is denoted as the free-coiling phase. In this work, with the aim of understanding the fundamentals of the mechanics behind the free coiling, a reverse-engineering approach based on the finite element method was firstly applied. The model consisted of an elongated cylinder with suitable material properties, boundary, and loading conditions, in order to reproduce the kinematics of the tendril. The simulation succeeded in mimicking coiling faithfully and was therefore used to validate a tentative linear actuator model based on the plant’s working principle. More in detail, exploiting shape memory alloy materials to obtain large reversible deformations, the main tendril features were implemented into a nickel-titanium spring-based testing model. The results of the experimental tests confirmed the feasibility of the idea in terms of both functioning principles and actual performance. It can be concluded that the final set-up can be used as a base for a prototype design of a new kind of a linear actuator
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