NUMERICAL ALGORITHMS FOR SOLVING THE ELASTO-PLASTIC PROBLEM WITH MIXED HARDENING

Journal Title: ROMANIAN JOURNAL OF TECHNICAL SCIENCES - APPLIED MECHANICS - Year 2013, Vol 58, Issue 3

Abstract

The paper deals with elasto-plastic models for mixed hardening material, described by rate-type constitutive equations. In the first part of the paper update algorithms for solving rate type elastic-plastic models with mixed hardening mixed for small deformations have been emphasized, based on the radial return mapping algorithms proposed by Simo and Hughes [28]. We exemplify the elastic prediction and plastic corrector steps of the algorithms as well as the calculus of the appropriate algorithmic tangent moduli. We emphasize the role played by the algorithmic tangent moduli in solving the quasi-static, initial and boundary value problem, based on the methodology proposed and developed in the paper by Cleja-Tigoiu and Stoicuta [8].

Authors and Affiliations

SANDA CLEJA-TIGOIU, NADIA ELENA STOICUTA, OLIMPIU STOICUTA

Keywords

Related Articles

GIANT RESPONSE OF MICROBUBBLE CONTRAST AGENTS OSCILLATION IN A HIGH-INTENSITY FOCUSED ULTRASOUND FIELD

The interaction of microbubble contrast agents (BR14) with high-intensity focused ultrasound is investigated by high-speed photography. The experiments were conducted at an ultrasound frequency of 1.08 MHz with a peak ne...

A PREISACH MODEL FOR HYSTERETIC DESCRIPTION OF NATURAL MAIZE COMPOSITES

The work is focused on the hysteretic behavior of a composite made out of stalk based maize fiber and unsaturated polyester resin polymer as matrix with methyl ethyl ketone peroxide as a catalyst and Cobalt Octoate as a...

ELASTO-PLASTIC FINITE DEFORMATION MODELS FOR ANISOTROPIC DAMAGE

The paper deals with finite deformation elasto-plastic models with anisotropic damage. The models are mathematically coherent and consistent with free energy imbalance principle. One model is based on the existence of de...

VALIDATION OF NEW RIGID BODY DYNAMICS FORMULATION USING ROTATION MATRICES ELEMENTS AS DEPENDENT PARAMETERS − DOUBLE PENDULUM CASE STUDY

The method of using the rotation matrix elements as dependent parameters for the 3D rotation of a rigid body is currently very rarely used in multibody dynamics. Nevertheless, this redundant parameterization of 3D rotati...

AN APPLICATION OF THE OPTIMAL AUXILIARY FUNCTIONS TO BLASIUS PROBLEM

In this work, a new procedure namely the Optimal Auxiliary Functions Method (OAFM) is proposed to obtain an explicit analytical solution of the Blasius problem. Our solutions are compared with those obtained by numerical...

Download PDF file
  • EP ID EP179186
  • DOI -
  • Views 98
  • Downloads 0

How To Cite

SANDA CLEJA-TIGOIU, NADIA ELENA STOICUTA, OLIMPIU STOICUTA (2013). NUMERICAL ALGORITHMS FOR SOLVING THE ELASTO-PLASTIC PROBLEM WITH MIXED HARDENING. ROMANIAN JOURNAL OF TECHNICAL SCIENCES - APPLIED MECHANICS, 58(3), 241-272. https://europub.co.uk/articles/-A-179186