Results 101 to 110 of about 32,424,344 (291)

Capturing Complex Rate‐Dependent Behaviors of Saturated Clays: A Fractional Consistency Kinematic Hardening Viscoplastic Approach

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Saturated high plasticity clays show complex nonlinear, rate‐dependent, and hysteresis behaviors under non‐monotonic stress paths, requiring advanced mathematical constitutive equations for accurate description. Taking into account the inherent advantages of kinematic hardening mechanisms in simulating complex stress histories, this paper ...
Wei Cheng, Zhen‐Yu Yin
wiley   +1 more source

Galerkin/Runge-Kutta discretizations for semilinear parabolic equations [PDF]

A new class of fully discrete Galerkin/Runge-Kutta methods is constructed and analyzed for semilinear parabolic initial boundary value problems. Unlike any classical counterpart, this class offers arbitrarily high, optimal order convergence.
Keeling, Stephen L.
core   +1 more source

Energy-preserving continuous-stage Runge-Kutta-Nyström methods [PDF]

, 2018
Wensheng Tang
openalex   +1 more source

Systematic Parameter Selection for Short Fiber Polymer Composite Direct Fiber Simulation

Polymer Composites, EarlyView.
Interactions of individually simulated fibers are systematically calibrated such that their orientation history agrees with the results from analytical orientation models. ABSTRACT The orientation of fibers in short discontinuous fiber reinforced polymer composites is a critical factor in determining final mechanical and thermal properties.
Jason B. Pierce, Douglas E. Smith
wiley   +1 more source

Solving Linear Boundary Value Problem Using Shooting Continuous Explicit Runge-Kutta Method

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017
  In this paper we shall generalize fifth explicit Runge-Kutta Feldberg(ERKF(5)) and Continuous explicit Runge-Kutta (CERK) method using shooting method to solve second order boundary value problem  which can be reduced to order one.These methods we ...
Madeha Sh. Yousif, Bushra E. Kashiem
doaj  

Error estimates for splitting methods based on AMF-Runge-Kutta formulas for the time integration of advection diffusion reaction PDEs [PDF]

, 2015
Severiano González Pinto, D. Hernández‐Abreu, Soledad Perez Rodriguez   +2 more
openalex   +1 more source

Modeling Population Growth in a Rural Area Using the Fourth-Order Runge-Kutta Method

, 2022
Suresh Kumar Sahani, Ram Hridya Mandal
openalex   +2 more sources

Reduced‐Order Modeling of Energetic Materials Using Physics‐Aware Recurrent Convolutional Neural Networks in a Latent Space (LatentPARC)

Propellants, Explosives, Pyrotechnics, EarlyView.
Physics‐Aware Recurrent Convolutional Neural Networks (PARC) can reliably learn the thermomechanics of energetic materials as a function of morphology. This work introduces LatentPARC, which accelerates PARC by modeling the dynamics in a low‐dimensional latent space.
Zoë J. Gray, Joseph B. Choi, Youngsoo Choi, H. Keo Springer, H. S. Udaykumar, Stephen S. Baek   +5 more
wiley   +1 more source

CONSTRUCTION OF SOME IMPLICIT LINEAR MULTI-STEP METHODS INTO RUNGE-KUTTA TYPES METHODS FOR INITIAL VALUE PROBLEMS (IVP) OF FIRST ORDER DIFFERENTIAL EQUATIONS

Academy Journal of Science and Engineering, 2022
Two implicit Hybrid block methods at step length ????=2 and 3 were derived through collocation procedures. The two derived block methods also reconstructed to an equivalent S stage Runge-Kutta type methods for the solution of ????′=????(????,????).
Ademola M Badmus, Mohammed S Mohammed
doaj  

Comparing Error Estimators for Runge-Kutta Methods [PDF]

, 1971
L. F. Shampine, H. A. Watts
openalex   +1 more source