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Luoyi Tao

Bio: Luoyi Tao is an academic researcher from Texas A&M University. The author has contributed to research in topics: Damper & Mixture theory. The author has an hindex of 3, co-authored 4 publications receiving 670 citations.

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01 Oct 1995
TL;DR: In this article, a discussion of a mixture of immiscible fluids is given, and the status of Darcy's law within the context of mixture theory is discussed. And the entropy inequality constitutive theory steady state problems diffusing singular surface wave propagation in solids infused with fluids are discussed.
Abstract: Kinematics partial stress and total stress balance laws and the entropy inequality constitutive theory steady state problems diffusing singular surface wave propagation in solids infused with fluids epilogue some results from differential geometry status of Darcy's law within the context of mixture theory a brief discussion of a mixture of immiscible fluids.

614 citations

Journal ArticleDOI
TL;DR: In this paper, a model for describing the motion of a bubbly fluid in an open-ended squeeze film dampers operating with circular centered journal orbits was proposed for a test rig operating with a controlled air in oil mixture.
Abstract: Rotor-bearing systems supported on squeeze film dampers (SFDs) show large amplitude vibratory motions when traversing critical speeds. At these operating conditions air is drawn into the damper thin film clearance generating a bubbly mixture with the lubricant and producing SFD forces not readily predictable with currently available analysis. A continuum model is proposed for describing the motion of a bubbly fluid in an open ended SFD operating with circular centered journal orbits. Computed predictions for peak-peak dynamic pressures and fluid film forces agree reasonably well with experimental measurements conducted on a SFD test rig operating with a controlled air in oil mixture. The bubbly flow model provides an initial procedure towards the reliable design of SFDs in actual operating conditions.

44 citations

Journal ArticleDOI
TL;DR: In this article, the authors propose a framework to describe the mechanical behavior of thermally damaged biological soft tissues based on a melding of ideas from classical continuum thermodynamics and irreversible thermodynamics.

39 citations

DOI
03 Jan 2007
TL;DR: In this article, the authors describe changing response characteristics during a particular class of thermal damage tests on collagenous biomembranes and derive evolutionary equations that provide a good fit to data but more generally provide direction for future work.
Abstract: En The increased use of heating in many medical specialties is driven by the availability of new devices, not an understanding of the underlying physics. Whereas most prior studies have quantified material response characteristics before and after thermal damage, the goal of this work is to describe changing response characteristics during a particular class of thermal damage tests—biaxial isometric tests on collagenous biomembranes. Evolution equations are derived/postulated that provide a good fit to data but more generally provide direction for future work.

Cited by
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Journal ArticleDOI
TL;DR: This short treatise presents a concise history of the study of solid tumour growth, illustrating the development of mathematical approaches from the early decades of the twentieth century to the present time, showing the crucial relationship between experimental and theoretical approaches.

710 citations

Journal ArticleDOI
TL;DR: It was thought that the most important characteristics of soft tissues were their complex mechanical properties: they often exhibit nonlinear, anisotropic, nearly incoherent, and often incoherent properties as discussed by the authors.
Abstract: Not long ago it was thought that the most important characteristics of the mechanics of soft tissues were their complex mechanical properties: they often exhibit nonlinear, anisotropic, nearly inco...

663 citations

Journal ArticleDOI
TL;DR: The purpose of this paper is to review a few of the many achievements in the biomechanics of soft tissues and the tools that allowed them, but, more importantly, to identify some of the open problems that merit increased attention from those in applied mechanics, biomechanic, mathematics and mechanobiology.
Abstract: Since its coming of age in the mid 1960s, continuum biomechanics has contributed much to our understanding of human health as well as to disease, injury, and their treatment. Nevertheless, biomechanics has yet to reach its full potential as a consistent contributor to the improvement of health–care delivery. Because of the inherent complexities of the microstructure and biomechanical behaviour of biological cells and tissues, there is a need for new theoretical frameworks to guide the design and interpretation of new classes of experiments. Because of continued advances in experimental technology, and the associated rapid increase in information on molecular and cellular contributions to behaviour at tissue and organ levels, there is a pressing need for mathematical models to synthesize and predict observations across multiple length– and time–scales. And because of the complex geometries and loading conditions, there is a need for new computational approaches to solve the boundaryand initial–value problems of clinical, industrial, and academic importance. Clearly, much remains to be done. The purpose of this paper is twofold: to review a few of the many achievements in the biomechanics of soft tissues and the tools that allowed them, but, more importantly, to identify some of the open problems that merit increased attention from those in applied mechanics, biomechanics, mathematics and mechanobiology.

556 citations

Journal ArticleDOI
TL;DR: In this paper, the authors use the chemical potential of the solvent and the deformation gradient of the network as independent variables of the free energy function, and show that the boundary value problem of the swollen gel is equivalent to that of a hyperelastic solid.

470 citations

Journal ArticleDOI
TL;DR: Variation of parameters such as the maximum cell proliferation rate and the rate of natural cell death yield results which are consistent with analyses performed on simpler tumour growth models and indicate that the two-phase formulation is a natural extension of the earlier models.
Abstract: In this paper the theory of mixtures is used to develop a two-phase model of an avascular tumour, which comprises a solid, cellular, phase and a liquid phase. Mass and momentum balances which are used to derive the governing equations are supplemented by constitutive laws that distinguish the two phases and enable the stresses within the tumour to be calculated. Novel features of the model include the dependence of the cell proliferation rate on the cellular stress and the incorporation of mass exchange between the two phases. A combination of numerical and analytical techniques is used to investigate the sensitivity of equilibrium tumour configurations to changes in the model parameters. Variation of parameters such as the maximum cell proliferation rate and the rate of natural cell death yield results which are consistent with analyses performed on simpler tumour growth models and indicate that the two-phase formulation is a natural extension of the earlier models. New predictions relate to the impact of mechanical effects on the tumour's equilibrium size which decreases under increasing stress and/or external loading. In particular, as a parameter which measures the reduction in cell proliferation due to cell stress is increased a critical value is reached, above which the tumour is eliminated.

444 citations