Seismic tomography is a technique to determine the material properties of the Earth’s subsurface based on the observation of seismograms. This can be stated as a PDE-constrained optimization problem governed by the elastic wave equation. We present a semismooth Newton-PCG method with a trust-region globalization for full-waveform seismic inversion that uses a MoreauYosida regularization to hand...

A shape design sensitivity analysis (DSA) and optimization of structural transient dynamics are proposed for the finite deformation elastoplastic materials under impact with a rigid surface. A shape variation of the structure is considered using the material derivative approach in continuum mechanics. Hyperelasticitybased multiplicatively decomposed elastoplasticity is used for the constitutive...

in this paper, the effect of bedrock inclination on seismic performance of slopes is investigated. the study was conducted based on dynamic analysis of different slopes, evaluation of the earthquake acceleration in sliding mass, and calculating the permanent displacement of the slope, using newmark sliding block. the investigation indicates that variation of the bedrock inclination may cause th...

In this paper mixed finite element methods of higher-order for time-dependent contact problems are discussed. The mixed methods are based on resolving the contact conditions by the introduction of Lagrange multipliers. Dynamic Signorini problems with and without friction are considered involving thermomechanical and rolling contact. Rothe’s method is used to provide a suitable time and space di...

The purpose of this paper is to review and further develop the subject of variational integration algorithms as it applies to mechanical systems of engineering interest. In particular, the conservation properties of both synchronous and asynchronous variational integrators (AVIs) are discussed in detail. We present selected numerical examples which demonstrate the excellent accuracy, conservati...

Bu çalışmada, tek açıklıklı köprülerin hareketli asılı kütle etkisindeki dinamik davranışı incelenmiştir. Ele alınan probleme ait hareket denklemi değişken katsayılı kısmi türevli diferansiyel denklem şeklinde elde edilmiş ve Newmark yöntemi ile sayısal olarak çözülmüştür. Dinamik analizlerde hız parametresi, oranı, frekans oranı köprünün sönüm oranının taşıtın üzerindeki etkileri araştırılmışt...

We consider the problem of integration of the initial value problem of the rotational rigid body dynamics. We are motivated by a very practical problem: time integration of the equations of motion of drill bits as they cut through rock. The drill bit geometry is fully three-dimensional, as is the surface of the rock to be cut, and the force laws of cutting, scraping, impacts, and persistent con...