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Showing 1 to 20 of 129 for “"Continuum mechanics"”.
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Strongly orthotropic continuum mechanics
… dissertation is a theory of Strongly Orthotropic Continuum Mechanics that is derived entirely from an assertion of geometric strain indeterminacy. Implementable into the finite element method, it can resolve widespread kinematic misrepresentations and offer unique and purportedly exact …
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Continuum Mechanics Modelling of Corrugated Board
The storage of compressive loaded boxes in an environment with naturally varying humidity is a practical issue in corrugated board employment. Time dependent variables such as moisture content, strain fields, stress fields and material strength play important roles for the time to failure. …
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Continuum Mechanics of Duhem’s Approach to Hysteresis
Although the Duhem model of hysteresis was introduced in the late nineteenth century, it has not received particular attention for nearly a century. Only in the late twentieth century did researchers begin to cite and attribute this model to Pierre Duhem, employing it as a “black-box model” in …
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On the Continuum-Mechanics of Nematic Elastomers
… liquid crystalline molecules. We develop a continuum theory with the basic kinematic ingredients being the deformation of material particles and the orientation of the nematic microstructure. The kinetics of our theory consist of separate momentum balances for forces acting conjugate to each …
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Numerical Constitutive Modelling for Continuum Mechanics Simulation
… silicon, and demonstrated within a finite-volume continuum elasticity simulation for several problems of interest involving shock waves. The second investigation is concerned with the computation of properties of shock waves. We describe a simple annealing procedure to obtain the Hugoniot locus …
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Variationally consistent methods for Lagrangian dynamics in continuum mechanics
Rapid dynamics are commonly encountered in industrial applications such as forging, crash tests and many others. These problems are typically non-linear due to large deformations and/or non-linear constitutive relations. Such problems are typically modelled from a Lagrangian viewpoint, where the …
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Multiscale Modelling of Molecules and Continuum Mechanics Using Bridging Scale Method
… of new space materials. Since the traditional continuum mechanics models cannot describe the influence of the nanostructured upon the mechanical properties of materials and full atomistic description is still computationally too expensive, millions of degrees of freedom are needed just for …
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Surface integral finite element hybrid method for localized problems in continuum mechanics
Thesis (Sc.D.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 1984.
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Hybrid Ray Optics and Continuum Mechanics Modeling of Cell Deformation in the Optical Stretcher
… equations of deformation.|From the principles of continuum mechanics we have derived and solved the equations of deformation for arbitrary stress profiles and developed codes that analyze different stress distributions. We call this the Poikilostrephic (Changing Stress) Approach. We have extended …
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The application of continuum mechanics to the stochastic modeling of fracture in fiber-fiber composites
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 1991.
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Methods of Analytical Mechanics in Continuum Mechanics: A unifying approach to growth, remodeling, and evolution of defects in simple and grade-one materials
L'abstract è presente nell'allegato / the abstract is in the attachment
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The State-Based Peridynamic Lattice Model
The reigning material model of today is continuum mechanics. Continuum mechanics assumes that a material is continuous and can be represented by mathematical functions. This is an unreasonable assumption for concrete due in part to the fact that concrete cracks and the continuum mechanics model …
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Development and applications of new peridynamic models
Studies of solid mechanics are traditionally based on continuum mechanics which utilizes differential equations. Differential equations, however, become troublesome when damage takes place. Instead of differential equations, this study presents a theory, so-called peridynamics, based on integral …
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The State-based Peridynamic Lattice Model and Reinforced Concrete Structures
Continuum mechanics is the leading tool used in computational solid mechanics. Continuum mechanics, however, assumes a materials body to be continuous, represented by analytical functions. This assumption is unrealistic for reinforced concrete structures, which become discontinuous as cracks form. …
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Shock formation properties of continuum and kinetic models
Continuum mechanics and kinetic theory are two mathematical theories with fundamentally different approaches to the same physical phenomenon. Continuum mechanics together with thermodynamics treat a substance (a gas or a fluid) as a continuous medium and describes the evolution of its macro …
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ANALYSIS OF BRAZILIAN SPLIT CYLINDER USING THE STATE BASED PERIDYNAMIC LATTICE MODEL
… in the form of cracks and fracture. Continuum mechanics, which has dominated the field of solid mechanics over the years, does not handle such discontinuities. A material, as defined by continuum mechanics is that which is continuous and fills the space it occupies. Although this is a …
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Non-maximum entropy polymer elasticity, viscoelasticity and the lattice Boltzmann method
Various models of viscoelasticity exist based on continuum mechanics. In this work a statistical mechanical approach is taken to derive a new isotropic, hyperelastic, viscoelastic, incompressible constitutive equation for polymers. The result has been achieved by generating a novel physics for the …
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Comparison of nonlinear finite element formulations: application to trusses
Two prominent continuum mechanics based incremental nonlinear finite element formulations are reviewed. An introduction to different material response measures suitable for nonlinear analysis, in addition to an overview of the Total and Updated Lagrangian reference frames, serve as the starting …
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Lattice-based peridynamic modeling of linear elastic solids
… to satisfy the most fundamental assumptions of continuum mechanics. To overcome the limitations of continuum mechanics, Silling introduced the peridynamic method in 1998. Gerstle and his colleagues generalized the peridynamic model in 2007, introducing the micropolar peridynamic model by …
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