3 edition of **Efficient and accurate explicit integration algorithims with application to viscoplastic models** found in the catalog.

Efficient and accurate explicit integration algorithims with application to viscoplastic models

- 288 Want to read
- 39 Currently reading

Published
**1994**
by National Aeronautics and Space Administration, National Technical Information Service, distributor in [Washington, DC], [Springfield, Va
.

Written in English

- Differential equations.,
- Exponential functions.,
- Runge-Kutta method.,
- Stress analysis.,
- Viscoplasticity.

**Edition Notes**

Statement | Vinood K. Arya. |

Series | NASA contractor report -- NASA CR-195342. |

Contributions | United States. National Aeronautics and Space Administration. |

The Physical Object | |
---|---|

Format | Microform |

Pagination | 1 v. |

ID Numbers | |

Open Library | OL15403925M |

Anelastic models have been successfully used in a wide variety of cloud and mesoscale applications (e.g., Clark , ), and have been proposed as a framework for global applications (Smolarkiewicz et al. ), although the validity of these approximations for numerical weather prediction (NWP) or climate applications has been questioned. Each chapter presents an algorithm, a design technique, an application area, or a related topic. Algorithms are described in English and in a pseudocode designed to be readable by anyone who has done a little programming. The book contains ﬁgures—many with multiple parts—illustrating how the algorithms work. Since.

The point is not simply that algorithms have many applications. The deeper issue is that the subject of algorithms is a powerful lens through which to view the ﬁeld of computer science in general. Algorithmic problems form the heart of computer science, but they rarely arrive as cleanly packaged, mathematically precise questions. In particular, the unconditionally stable implicit backward Euler integration algorithm is formulated for elastoplasticity of particle reinforced plastic matrix composites. In addition to the local integration algorithm, in nonlinear finite element methods for boundary value problems, tangent moduli are needed for the global Newton`s iterations.

For example, using an explicit integration method, with its known material-dependent All applications given utilize a viscoplastic model of the nonlinear kinematic-hardening type, GVIPS [5], having a total of eight material constants (Fig. 10). • Lack of efficient and robust integration algorithms. The Euler method is + = + (,). so first we must compute (,).In this simple differential equation, the function is defined by (,).We have (,) = (,) =By doing the above step, we have found the slope of the line that is tangent to the solution curve at the point (,).Recall that the slope is defined as the change in divided by the change in, or /.. The next step is to multiply the above value.

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Efficient and accurate integration algorithms with application to viscoplastic models Article (PDF Available) in International Journal for Numerical Methods in Engineering 39(2). Get this from a library. Efficient and accurate explicit integration algorithms with application to viscoplastic models.

[Vinod K Arya; United States. National Aeronautics and. Efficient and Accurate Explicit Integration Algorithms with Application to Viscoplastic Models.

By Vinod K. Arya. Abstract. Several explicit integration algorithms with self-adative time integration strategies are developed and investigated for efficiency and accuracy. These algorithms involve the Runge-Kutta second order, the lower Runge Author: Vinod K.

Arya. () efficient and accurate explicit integration algorithms with application to viscoplastic models. International Journal for Numerical Methods in EngineeringOnline publication date: JanCited by: 7. Explicit integration algorithms have the advantage that all calculations proceed from known data and the integration progresses in an entirely straightforward, time-marching manner.

Unfortunately, for the simplest of these, the Euler integration algorithm of equation (), numerical instability will occur if the timestep is greater than twice the smallest time constant. An efficient explicit algorithm for damage-coupled viscoplastic fatigue model Article in Finite Elements in Analysis and Design 43(9) June.

The explicit integration method is often more efficient than the implicit integration method for solving extremely discontinuous short-term events or processes. (3) Problems involving stress wave propagation can be far more efficient computationally in ABAQUS (Explicit) than in ABAQUS (Standard).

Key words: creep, viscoplasticity, time integration algorithms, explicit, implicit Abstract. Applicability of both explicit and implicit integration algorithms for creep analysis of solder joints is evaluated. Two recently published methods has been compared for consider-ing both accuracy and computational labor.

viscoplastic models are better than classic creep and plasticity theory. However, the alternating implicit-explicit time integration scheme and the bounded Newton.

iii method at the local level calculation is the most robust, accurate and efficient method. A coupled transient finite element model based on the fixed-grid implementation of.

An Explicit Integration Algorithm for Introducing User-Defined Thermo-Viscoplastic Constitutive Models in FE Simulations Authors: Chong Yang Gao, P.H. Liu, Liang Chi Zhang Abstract: Material models in the libraries of commercially available finite element codes often cannot satisfy the needs of some special material property descriptions, such.

Explicit Constitutive Model Integration Algorithms The implementation of a user-defined constitutive model into the finite difference code FLAC requires the constitutive stress-strain relationship to be explicitly integrated, that is to provide a numerical algorithm for the computation of the stress increment Δσ ij, for a given current stress.

() Further development of efficient and accurate time integration schemes for meteorological models. Journal of Computational Physics() Using SIMD and SIMT vectorization to evaluate sparse chemical kinetic Jacobian matrices and thermochemical source terms.

• Explicit time integration is more accurate and efficient for simulations • Typical applications ANSYS Confidential Example Applications - Implicit & Explicit Problem Time Magnitude IMPLICIT METHODS 1 year 10 s 1 s s s s s EXPLICIT METHODS Creep Static/Dynamic Quasi-Static Detonation & Blast.

() A variable parameter embedded dirk algorithm for the numerical integration of stiff systems of ODEs. Computers & Mathematics with Applications() An explicit two-step method for solving stiff systems of ordinary differential equations.

Using those algorithms is generally less efficient than using implicit integration to be described. Various algorithms are however available. the Implicit domain specific language allows the user to perform the local integration using an implicit algorithm.

An introduction to those algorithms is given in the next paragraph. Most models use a Lagrangian approach with a ﬁxed mesh due to its easy implementation, although an alternative Eularian–Langrangian approach has also been used [6,14]. Schemes to integrate the viscoplastic laws range from easy-to-implement explicit methods [11,12], to robust but complex implicitly based algorithms [2,3], generally.

Efficient and Accurate Explicit Time-Integration Algorithms with Application to Viscoplastic Models. International Journal of Numerical Methods in Engineering, 39, pp.3.

Efficient and Accurate Explicit Time-Integration Algorithms with Application to Viscoplastic Models. NASA CRAugust Kinetics of Oxidation and Cracking and Finite Element Analyses of MA and MA /Sapphire Composite System.

Part I - Experimental. NASA-HITEMP Proceedings, 10 Adaptive Switching of Integration Algorithms Convergence failure time [sec] of simulations for different integration methods NGA Sequence Number Bridge Scale factor Implicit Newmark Switching Integration algorithms TR-BDF2 A Completed Completed A Completed Completed A Completed Completed B.

A new multikernel relevance vector machine based on the HPSOGWO algorithm for predicting and controlling blast-induced ground vibration. Zhi Yu application to variable-order fractional version of the 2D Richard equation. An efficient two-step damage identification method using sunflower optimization algorithm and mode shape curvature.

2 Geometric Algorithms Applications. • Data mining. • VLSI design. • Computer vision. • Mathematical models. • Astronomical simulation. • Geographic information systems. • Computer graphics (movies, games, virtual reality). • Models of physical world (maps, architecture, medical imaging).

History. • Ancient mathematical foundations. • Most geometric algorithms less than .The time steps used for explicit time integration will generally be much smaller than those used for implicit time integration • e.g. for a mesh with a characteristic dimension of 1 mm and a material sound speed of m/s.

The resulting stability time step would be µ-seconds. To solve this simulation to a termination time of A critical requirement for efficient and accurate explicit analysis is a high-quality mesh. Our explicit products benefit from integration in the ANSYS Workbench environment, which includes powerful automatic mesh generation.

You can create high-quality hex (brick) elements for more complex geometries using multi-zone meshing, a.