Joseph E. Bishop
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View article: 10-th order of accuracy for numerical solution of 3-D elasticity equations for heterogeneous materials on unfitted Cartesian meshes
10-th order of accuracy for numerical solution of 3-D elasticity equations for heterogeneous materials on unfitted Cartesian meshes Open
View article: Stress-hybrid virtual element method on six-noded triangular meshes for compressible and nearly-incompressible linear elasticity
Stress-hybrid virtual element method on six-noded triangular meshes for compressible and nearly-incompressible linear elasticity Open
View article: Optimal local truncation error method for 3-D elasticity interface problems
Optimal local truncation error method for 3-D elasticity interface problems Open
View article: Stress-hybrid virtual element method on six-noded triangular meshes for compressible and nearly-incompressible linear elasticity
Stress-hybrid virtual element method on six-noded triangular meshes for compressible and nearly-incompressible linear elasticity Open
In this paper, we present a first-order Stress-Hybrid Virtual Element Method (SH-VEM) on six-noded triangular meshes for linear plane elasticity. We adopt the Hellinger--Reissner variational principle to construct a weak equilibrium condit…
View article: A quasi-meshfree method for constructing boundary-aware reproducing bases on geometrically complex domains using manifold geodesics
A quasi-meshfree method for constructing boundary-aware reproducing bases on geometrically complex domains using manifold geodesics Open
View article: Multiscale Modeling of Microstructure and Damage Evolution in the Performance of Additively Manufactured Parts.
Multiscale Modeling of Microstructure and Damage Evolution in the Performance of Additively Manufactured Parts. Open
View article: Computationally optimized and manufactured acoustic metamaterials
Computationally optimized and manufactured acoustic metamaterials Open
A method, system, and apparatus for fabricating an acoustic metamaterial is provided. In an embodiment, a method for fabricating an acoustic metamaterial includes determining at least one tuned physical property for each of a plurality of …
View article: 11-th order of accuracy for numerical solution of 3-D Poisson equation with irregular interfaces on unfitted Cartesian meshes
11-th order of accuracy for numerical solution of 3-D Poisson equation with irregular interfaces on unfitted Cartesian meshes Open
View article: Simulating additive manufacturing with SPPARKS - process modeling for realistic 3D microstructures.
Simulating additive manufacturing with SPPARKS - process modeling for realistic 3D microstructures. Open
View article: A HYBRID MESH-BASED/ELEMENT-FREE APPROACH FOR ANALYSIS ON GEOMETRICALLY COMPLEX DOMAINS WITHOUT DEFEATURING .
A HYBRID MESH-BASED/ELEMENT-FREE APPROACH FOR ANALYSIS ON GEOMETRICALLY COMPLEX DOMAINS WITHOUT DEFEATURING . Open
View article: Geomechanics of Geologic Carbon Storage: Hazards, Long-Term Sealing, and Storage Securityt.
Geomechanics of Geologic Carbon Storage: Hazards, Long-Term Sealing, and Storage Securityt. Open
View article: A hybrid mesh-based/element-free method using fine-scale triangulations for the solution of PDEs on geometrically complex domains without defeaturing .
A hybrid mesh-based/element-free method using fine-scale triangulations for the solution of PDEs on geometrically complex domains without defeaturing . Open
View article: A hybrid mesh-based/element-free approach for analysis on geometrically complex domains without defeaturing .
A hybrid mesh-based/element-free approach for analysis on geometrically complex domains without defeaturing . Open
View article: GBCs and the conjugate basis for both element-based and element-free solution of PDEs.
GBCs and the conjugate basis for both element-based and element-free solution of PDEs. Open
technique based on a POD-Galerkin approach. Third, the SBM provides a smooth mapping from the true to the surrogate domain, and for this reason, the stability and performance of the reduced order basis are enhanced. This feature is the net…
View article: A polyhedral FE formulation using projected gradients and the dual basis with applications to nonlinear solid mechanics.
A polyhedral FE formulation using projected gradients and the dual basis with applications to nonlinear solid mechanics. Open
View article: A micromorphic filter for determining stress and deformation measures from direct numerical simulations of lower length scale behavior
A micromorphic filter for determining stress and deformation measures from direct numerical simulations of lower length scale behavior Open
A micromorphic filter is presented for the extraction of stress and deformation measures from underlying direct numerical simulation (DNS) of microstructural mechanical response. The filter is consistent with the micromorphic continuum the…
View article: Analytical modeling and simulation of electrical contact resistance for elastic rough electrode surface contact including frictional temperature rise
Analytical modeling and simulation of electrical contact resistance for elastic rough electrode surface contact including frictional temperature rise Open
An improved electrical contact resistance (ECR) model for elastic rough electrode contact is proposed, incorporating the effects of asperity interactions and temperature rise by frictional and joule heating. The analytical simulation resul…
View article: The 2020 Nonlinear Mechanics and Dynamics Research Institute
The 2020 Nonlinear Mechanics and Dynamics Research Institute Open
The 2020 Nonlinear Mechanics and Dynamics (NOMAD) Research Institute was successfully held from June 15 to July 30, 2020. NOMAD brings together participants with diverse technical backgrounds to work in small teams to cultivate new ideas a…
View article: Prediction and Validation of Residual Stress and Distortion Across Processes and Length Scales.
Prediction and Validation of Residual Stress and Distortion Across Processes and Length Scales. Open
View article: A consistent and stable quadrature scheme for Galerkin meshfree methods for applications in nonlinear solid mechanics.
A consistent and stable quadrature scheme for Galerkin meshfree methods for applications in nonlinear solid mechanics. Open
View article: A comparison of mesh-free and mesh-based Lagrangian approximations of manufactured shear-dominated deformation fields.
A comparison of mesh-free and mesh-based Lagrangian approximations of manufactured shear-dominated deformation fields. Open
View article: A generalized derivative-projection methodology for assuring quadrature consistency in Bubnov-Galerkin polyhedral FEA.
A generalized derivative-projection methodology for assuring quadrature consistency in Bubnov-Galerkin polyhedral FEA. Open
View article: Recent Advances in the VoroCrust Algorithm for Automatic Generation of Conforming Voronoi Meshes.
Recent Advances in the VoroCrust Algorithm for Automatic Generation of Conforming Voronoi Meshes. Open
problem. Given an ϵ-sample on the bounding surface, with a weak σ-sparsity condition, we work with the balls of radius δ times the local feature size centered at each sample. The corners of this union of balls are the Voronoi sites, on bot…
View article: Multiscale analysis in solids with unseparated scales: fine-scale recovery, error estimation, and coarse-scale adaptivity
Multiscale analysis in solids with unseparated scales: fine-scale recovery, error estimation, and coarse-scale adaptivity Open
There are several engineering applications in which the assumptions of homogenization and scale separation may be violated, in particular, for metallic structures constructed through additive manufacturing. Instead of resorting to direct n…
View article: Nonlinear ultrasonic technique for the characterization of microstructure in additive materials
Nonlinear ultrasonic technique for the characterization of microstructure in additive materials Open
This study employs nonlinear ultrasonic techniques to track microstructural changes in additively manufactured metals. The second harmonic generation technique based on the transmission of Rayleigh surface waves is used to measure the acou…
View article: Blast Effects Modeling at the Engineering Sciences Center Sandia National Laboratories.
Blast Effects Modeling at the Engineering Sciences Center Sandia National Laboratories. Open
View article: Simulating Fluid-Induced Discrete-Fracture Propagation using Randomly Close-Packed Polyhedral Finite-Element Meshes.
Simulating Fluid-Induced Discrete-Fracture Propagation using Randomly Close-Packed Polyhedral Finite-Element Meshes. Open
View article: Understanding the Effects of Microscale Material Variability in Macroscale Structures through Direct Numerical Simulations.
Understanding the Effects of Microscale Material Variability in Macroscale Structures through Direct Numerical Simulations. Open
View article: Direct Numerical Simulations of Macroscale Structures with Embedded Polycrystalline Microstructures and Comparisons to Homogenization Theory.
Direct Numerical Simulations of Macroscale Structures with Embedded Polycrystalline Microstructures and Comparisons to Homogenization Theory. Open
View article: PPM Task 3: FY 14 Work Emphasis.
PPM Task 3: FY 14 Work Emphasis. Open