Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 20 of 25 for “"Nonlinear Elasticity"”.
-
Kinematic Constraints in Nonlinear Elasticity (Incompressibility, Perturbation, Convergence)
The constitutive equations for a material which approximately satisfies a kinematic constraint are investigated for the particular case of an elastic material.
-
Unified interpretation of nonlinear elasticity in granular solids, A
… solids such as natural rocks and concrete show nonlinear elasticity in response to dynamic deformation with a large strain amplitude. Resonance experiments can measure the nonlinear elasticity using resonance curves which show response amplitudes as a function of driving (oscillation) …
-
Buckling of thin-walled cylinders from three dimensional nonlinear elasticity
… the incremental kinematics of a plate. The nonlinear elastic constitutive equations proposed by Pence and Gou (2015), describing a nearly incompressible neo-Hookean material, are used in a rigorous way. While the employed kinematics coincides with that used by Flügge, the incremental …
-
Asymptotically nonliner oscillatory shear: theory, modeling, measurements and applications of nonlinear elasticity to stimuli-responsive composites
… of synthetic and biological polymers, exhibit a nonlinear rheological response to mechanical deformation. Oscillatory shear is a popular deformation protocol for viscoelastic characterization, both linear and nonlinear, the latter referred to as large amplitude oscillatory shear (LAOS). However, …
-
Geometric discretization schemes and differential complexes for elasticity
… for developing numerical schemes for linear and nonlinear elasticity. Using some ideas from discrete exterior calculus (DEC), we present a geometric discretization scheme for incompressible linearized elasticity. After characterizing the configuration manifold of volume- preserving discrete …
-
Analysis and Design of Nonlinearly Constrained Dynamic Systems
… a total Lagrangian approach based on constrained nonlinear elasticity is pursued to study flexible multibody systems. In the finite element formulation of this approach, domain decomposition is used to exploit course-grain parallelism.
-
Scaling and Pattern Formation in Condensed Matter Systems
… representation incorporates the correct form of nonlinear elasticity. I then analyze the plastic properties of the model by applying a shearing force. Dislocation avalanches, which resembling the scaling behavior in driven ferromagnetic, are observed. Critical exponents are extracted from power …
-
Three-field mixed finite element approximations for problems in elasticity
… is concerned with three-field mixed methods for elasticity (often referred to as Hu-Washizu formulations) in which the variables are, for small-strain problems, the displacement, stress and strain. For problems in nonlinear elasticity the corresponding variables are the displacement, first …
-
An adaptive framework for high-order, mixed-element numerical simulations
… straight-sided mesh is then curved using a nonlinear elasticity analogy. Since the element sizes and orientations are prescribed to the mesh generator through a field of Riemannian metric tensors, the adaptation algorithm used to compute this field is also discussed. The algorithm is first …
-
Development of rate-dependent thermoplastic constitutive models for numerical analysis of ceramics at high-temperature
… cold compaction of ceramic powders, combining nonlinear elasticity, elasto-plastic coupling and increase of cohesion. - The second model is thermal-viscous-elastic-plastic and is specifically tailored to describe the thermo-mechanical behavior of refractory devices under working conditions at …
-
Automatic higher order mesh generation and movement utilizing spring-field and vector-adding
… approaches, this method eschews a linear or nonlinear elasticity analogy while still providing positive-Jacobian mesh elements. In addition, the transformation from linear to curved meshes can be achieved by only deforming the necessary edges of the elements near domain boundaries while …
-
Statistical Mechanics of Two-Dimensional Materials; From Biological Membranes to Graphene
… be detected by a biological membrane: Using a nonlinear continuum electromechanical model, and methods of statistical mechanics, we developed a variational approximation to analytically obtain the benchmark results for model fluid membranes as well as physically reasonable estimates of the …
-
An analysis of interlaminar stresses in unsymmetrically laminated plates
… laminates are typically large, a geometrically nonlinear kinematic description is used to account for the large displacements and rotations. The geometrically nonlinear three-dimensional boundary value problems are formulated from nonlinear elasticity theory and approximate solutions are …
-
Iterative and variational homogenization methods for filled elastomers
… describe, explain, and predict the macroscopic nonlinear elastic behavior of filled elastomers, arguably the most prominent class of elastomeric composites, directly in terms of the behavior of their constituents — i.e., the elastomeric matrix and the filler particles — and their microstructure …
-
High Order Immersed Finite Difference Methods for Complex Domains with Moving Boundaries and Interfaces
… immersed methods can be extended to complex nonlinear PDEs and moving 3D geometries, both of which are necessary to simulate practical engineering problems. We begin by introducing a boundary treatment that locally approximates PDE solutions with high order accuracy using a weighted …
-
Fluctuation theorems and work relations for single polymer rheology
… we determine the equilibrium linear and nonlinear elasticity, the nonequilibrium free energies, and entropies of flowing polymer solutions. Interestingly, we also find that fundamental thermodynamic quantities are related to well known rheological functions such as the longest polymer …
-
Deformation Mechanisms in Pd Nanowhiskers
… modulus in the small strain limit, we measured nonlinear elasticity at strains above ~1%. In addition to providing the first measurements of higher-order elasticity in Pd, our study shows that the elasticity response in Pd nanowhiskers can be attributed to higher-order elasticity in the …
-
Understanding the Mechanisms of Shock-Induced Deformation in Polymeric Systems
… properties (dispersion, dissipation, and nonlinear elasticity) on the propagation of a shock wave are demonstrated explicitly. The computational study of semicrystalline PE considers systems of three different crystallinity fractions; their configurational changes under shock are analyzed, …
-
Mathematical modelling of growth, reorganisation and active response in cells and tissues
… and modelling literature, we employ tools from nonlinear elasticity, active remodelling, and linear viscoelasticity to capture some relevant experimental observations. We find that strain energies belonging to a very general class all give rise to the same preferential orientations of cells on …
-
Material Characterization of Insect Tracheal Tubes
… uniaxial tests on the tissue which revealed a nonlinear stress-strain response even under small deformations. A detailed analysis of the tissue's microstructural arrangement using both light and electron mi- croscopy revealed the primary sources of reinforcement for the tissue as well as …
Page 1 of 2