000021729 001__ 21729
000021729 005__ 20170622131302.0
000021729 04107 $$aeng
000021729 046__ $$k2017-06-15
000021729 100__ $$aSofianos, Christos D.
000021729 24500 $$aHYSTERETIC MODEL FOR THE EXPLICIT MATERIAL POINT METHOD

000021729 24630 $$n6.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000021729 260__ $$bNational Technical University of Athens, 2017
000021729 506__ $$arestricted
000021729 520__ $$2eng$$aThe material point method (MPM) is an advancement of particle in cell method (PIC), in which Lagrangian bodies are discretized by a number of material points that hold all the properties and the state of the material [1]. All internal variables, stress, strain, velocity etc., that specify the current state and are required to advance the solution are stored in the material points. A background grid is employed to solve the governing equations by interpolating the material point data to the grid. The derived momentum conservation equations are solved at the grid nodes and information is transferred back to the material points and the background grid is reset. In this work the standard explicit MPM is extended to account for elastoplastic material behavior. The stress-strain constitutive law is determined according to the strain decomposition rule [2] where the strain rates are uncoupled into an elastic and a plastic part. In order to account for the different phases during elastic loading or unloading and yielding two Heaviside type functions are introduced [3]. These act as switches and incorporate the yield function [8]. The final form of the constitutive stress-strain relation incorporates the tangent modulus of elasticity, which now includes the Heaviside functions and gathers all of the governing behavior, facilitating considerably the solution. Numerical results are presented that validate the proposed formulation in the context of the MPM and in comparison with Finite Element Method.

000021729 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000021729 653__ $$aMaterial Point Method, Hysteresis.

000021729 7112_ $$aCOMPDYN 2017 - 6th International Thematic Conference$$cRhodes Island (GR)$$d2017-06-15 / 2017-06-17$$gCOMPDYN2017
000021729 720__ $$aSofianos, Christos D.$$iKoumousis, Vlasis K.
000021729 8560_ $$ffischerc@itam.cas.cz
000021729 8564_ $$s387848$$uhttps://invenio.itam.cas.cz/record/21729/files/17699.pdf$$yOriginal version of the author's contribution as presented on CD, section: [RS11] Nonlinear dynamics
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000021729 962__ $$r21500
000021729 980__ $$aPAPER