Zobrazeno 1 - 10
of 70
pro vyhledávání: '"Robert B. Haber"'
Autor:
Reza Abedi, Robert B. Haber
Publikováno v:
Advanced Modeling and Simulation in Engineering Sciences, Vol 5, Iss 1, Pp 1-22 (2018)
Abstract We combine the asynchronous spacetime discontinuous Galerkin (aSDG) method, an interfacial-damage fracture model, and a dynamic contact model to simulate dynamic fracture and crack closure in brittle materials. The contact model enforces spe
Externí odkaz:
https://doaj.org/article/11097084f0e24dc298bbf0f05f408dfd
Publikováno v:
International Journal for Numerical Methods in Engineering. 105:963-989
Summary Applications where the diffusive and advective time scales are of similar order give rise to advection–diffusion phenomena that are inconsistent with the predictions of parabolic Fickian diffusion models. Non-Fickian diffusion relations can
Autor:
Robert B. Haber, Reza Abedi
Publikováno v:
Computer Methods in Applied Mechanics and Engineering. 270:150-177
We derive Riemann solutions for stick, slip and separation contact modes in a linear elastic material with an isotropic Coulomb friction relation and explore their numerical implementation. The Riemann solutions preserve the characteristic structure
Autor:
Robert B. Haber, Reza Abedi
Publikováno v:
International Journal of Solids and Structures. 48:2076-2087
We present a dimensional analysis and self-similar solutions for linear elastodynamics with extensions to dynamic fracture models based on cohesive traction–separation relations. We formulate the problem using differential forms in spacetime and sh
Publikováno v:
Journal of Computational Physics. 229:2061-2092
We combine the Spacetime Discontinuous Galerkin (SDG) method for elastodynamics with the mathematically consistent Atomistic Discontinuous Galerkin (ADG) method in a new scheme that concurrently couples continuum and atomistic models of dynamic respo
Publikováno v:
Computer Methods in Applied Mechanics and Engineering. 199:34-47
We extend the single-field spacetime discontinuous Galerkin (SDG) method for linearized elastodynamics of Abedi et al. [1] to multi-field versions. A three-field method, in displacement, velocity and strain, is derived by invoking a Bubnov–Galerkin
Publikováno v:
International Journal for Numerical Methods in Engineering. 81:1207-1241
This paper describes an adaptive numerical framework for cohesive fracture models based on a spacetime discontinuous Galerkin (SDG) method for elastodynamics with elementwise momentum balance. Discontinuous basis functions and jump conditions written
Autor:
Scott T. Miller, Robert B. Haber
Publikováno v:
Computer Methods in Applied Mechanics and Engineering. 198:194-209
Non-Fourier conduction models remedy the paradox of infinite signal speed in the traditional parabolic heat equation. For applications involving very short length or time scales, hyperbolic conduction models better represent the physical thermal tran
Publikováno v:
International Journal for Numerical Methods in Fluids. 57:1115-1135
We describe two approaches to resolving shocks and other discontinuities in spacetime discontinuous Galerkin (SDG) methods for nonlinear conservation laws. The first is an adaptation of the sub-cell shock-capturing technique, recently introduced by P
Publikováno v:
Structural and Multidisciplinary Optimization. 33:375-386
We propose a fictitious domain method for topology optimization in which a level set of the topological derivative field for the cost function identifies the boundary of the optimal design. We describe a fixed-point iteration scheme that implements t