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.
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Showing 1 to 20 of 20 for “"Elastodynamics"”.
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Convolution method in elastodynamics
Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2024-08-01
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Elastodynamics and wave propagation in fractal media
The elastodynamics and wave propagation in three-dimensional fractal media is explored through the application of analytic and computational methods. In particular, two different mechanical models are introduced; with each one applied to characterize an elastodynamic problem pertaining to some …
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Analysis of a Spacetime Discontinuous Galerkin Method for Elastodynamics
We prove error estimates for the case of both element-wise and patch-wise causal partitions.
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SPDE-derived random fields in structural optimisation and elastodynamics
Random imperfections are an inherent aspect of engineered systems, originating from various sources such as manufacturing variations, material heterogeneity, and environmental factors. These imperfections inevitably introduce uncertainties in the performance of structures which are rarely …
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Tensorial elastodynamics and acoustodynamics for generalized seismic migration and inversion applications
Numerical solutions of elastodynamics and acoustodynamics form the key computational kernels for a wide variety of earth imaging and inversion problems within the exploration, microseismic, and earthquake seismology communities. The main driver is the need to accurately model and reproduce …
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Development and applications of hypersingular boundary integral equations for three-dimensional acoustics and elastodynamics
The boundary integral equation/boundary element method (BIE/BEM) has emerged as a powerful alternative tool to other numerical methods for many problems in engineering. The hypersingular BIE's, which are derivatives of conventional BIE's, are indispensable for the analyses of many problems in …
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ΔΥΝΑΤΟΤΗΤΕΣ ΕΦΑΡΜΟΓΗΣ ΤΗΣ ΜΕΘΟΔΟΥ ΤΩΝ ΣΥΝΟΡΙΑΚΩΝ ΣΤΟΙΧΕΙΩΝ ΣΤΗΝ ΑΝΑΛΥΣΗ ΜΗΧΑΝΟΛΟΓΙΚΩΝ ΚΑΤΑΣΚΕΥΩΝ
… PROVED, THAT THE BREBBIA-NARDINI METHODOLOGY, IN ELASTODYNAMICS AND ACOUSTICS, HAS MANY SHORTCOMINGS IF IT IS NOT POISSON-ADJUSTED. ON THE CONTRARY, THE PROPOSED CONSISTENT-MASS- FORMULATION INCLUDING INTERNAL DOF, WORKS EXTREMELY WELL. ALSO, IT IS PROPOSED A SYMMETRIZATION PROCEDURE OF THE …
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Nonlinear structural design using multiscale topology optimization
… elastostatic problems; extension to nonlinear elastodynamics; and an elastoplastic design methodology for transient dynamics. We systematically develop adjoint sensitivity analyses and incorporate them into gradient-based optimization update algorithms. In the multiscale elastostatic …
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Symbolic software for symmetry reduction and computation of invariant solutions of differential equations
… equations arising in nonlinear elastostatics and elastodynamics.
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On the Factorisation of Matrix Wiener–Hopf Kernels Arising From Acoustic Scattering Problems
… and bears promise of fruitful extension to elastodynamics and other areas of wave theory.
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Effect of off-fault low-velocity elastic inclusions on supershear rupture dynamics
… a lower rigidity than the background medium. The elastodynamics problem is solved by using the Finite Element software Pylith. The fault operates under linear slip-weakening friction law. Initiate the rupture by artificially overstressing a localized region near the left edge of the fault, …
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A Spacetime, Balance-Law Formulation of Coupled Atomistic and Continuum Dynamics for Solids
… and three-field SDG formulations for linearized elastodynamics to illuminate the mathematical structure of the original one-field SDG formulation and to assist in making connections to the atomistic formulation. On the atomistic side I examine connections between the SDG and ADG methods, and then …
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An efficient finite element method for embedded interface problems
… methods to enforce perfectly-tied kinematics for elastodynamics with explicit time integration. In particular, we examine the coupled aspects of spatial and temporal stability for Nitsche’s approach.We address the incompatibility of Nitsche’s method for explicit time integration by (a) proposing a …
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Multi-functional Holographic Acoustic Lenses for Modulating Low- to High-Intensity Focused Ultrasound
… objectives: (1) establishing nonlinear acoustic-elastodynamics models to represent the dynamics of holographic lenses under low- to high-intensity acoustic fields; (2) validating and leveraging the resulting models for high-fidelity lens designs used in generating specified nonlinear ultrasonic …
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A variational multiscale computational framework for reaction-dominated thermo-chemo-mechanical process modeling in multi-constituent material systems
… method is derived for multi-domain problems in elastodynamics where different subdomains can be solved synchronously and concurrently with minimal sharing of information. In addition, a new VMS method is introduced for the reaction-dominated regime of the diffusion–reaction equation. The …
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Elastodynamic Analysis of Vehicle Suspension Uprights
… supposed to be computationally less expensive. Elastodynamics is an alternative approach to solving dynamics equations while considering the components to be elastic. This approach can capture the inertial and elastic responses of the components and the load path with varying positions of the …
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Spacetime damage-based cohesive model for elastodynamic fracture with dynamic contact
… problems. A dimensional analysis of linear elastodynamics, with extensions to fracture models based on cohesive traction--separation laws, supports the formulation. The problem is formulated and analyzed using differential forms and the exterior calculus in spacetime. The analysis …
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Ultrasonic-Based Condition Assessment of Wooden Utility Poles
<p>More than 300 million utility poles shoulder the utility grid in the United States. However, the ineffectiveness of the current inspection process causes roughly a third of utility poles removed from the service deemed suitable for reuse. Due to the utterly essential role of the power …
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Topics in diffuse field ultrasonics
Random wave fields that have explored large volumes over long times contain much information. Studying these diffuse fields and extracting the information contained in them are the primary aims of Diffuse Field Theory. When the waves of interest are elastic waves at frequencies above 20kHz, the …