000021654 001__ 21654
000021654 005__ 20170622131258.0
000021654 04107 $$aeng
000021654 046__ $$k2017-06-15
000021654 100__ $$aGazonas, George
000021654 24500 $$aLONGITUDINAL IMPACT INTO VISCOELASTIC MEDIA

000021654 24630 $$n6.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000021654 260__ $$bNational Technical University of Athens, 2017
000021654 506__ $$arestricted
000021654 520__ $$2eng$$aWe consider several one-dimensional (1-D) impact problems involving finite or semi-infinite, elastic flyers traveling at initial velocity V0 that collide with, and weld to a finite stationary viscoelastic target backed by a semi-infinite elastic half-space. A Laplace transform method is used to derive numerically-based solutions for this class of transient wave propagation problems that exhibit jump discontinuities due to multiply reflected waves. A Dubner-Abate-Crump (DAC) algorithm [1], modified in [2], is used to invert the analytical Laplace transform domain solutions to the time domain. A newly derived impact boundary condition, used to solve impact problems in elastic [3] and piezoelectric media [4], is extended for use in problems involving viscoelastic impact. We find that the transient impact solutions for targets governed by a hereditary constitutive law (e.g., Maxwell or modified power-law) using the modified-DAC algorithm, compare well with those obtained using both a finite-difference time-domain method, and the commercial finite element code, COMSOL Multiphysics [5]. The Final Value Theorem is used to derive new explicit analytical expressions for the asymptotic stress and velocity in the targets that are useful for verification of viscoelastic impact simulations taken to long observation times. 

000021654 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000021654 653__ $$a

000021654 7112_ $$aCOMPDYN 2017 - 6th International Thematic Conference$$cRhodes Island (GR)$$d2017-06-15 / 2017-06-17$$gCOMPDYN2017
000021654 720__ $$aGazonas, George$$iScheidler, Mike$$iHopkins, David$$iWildman, Raymond
000021654 8560_ $$ffischerc@itam.cas.cz
000021654 8564_ $$s116964$$uhttps://invenio.itam.cas.cz/record/21654/files/17398.pdf$$yOriginal version of the author's contribution as presented on CD, section: [MS10] Advances in Numerical Methods for Linear and Non-Linear Dynamics and Wave Propagation
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000021654 962__ $$r21500
000021654 980__ $$aPAPER