• Title/Summary/Keyword: deformation decomposition

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A Practical Method for Efficient Extraction of the Rotational Part of Dynamic Deformation (동적 변형의 회전 성분을 효율적으로 추출하기 위한 실용적 방법)

  • Choi, Min Gyu
    • Journal of Korea Game Society
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    • v.18 no.1
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    • pp.125-134
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    • 2018
  • This paper presents a practical method to efficiently extract the rotational part of a $3{\times}3$ matrix that changes continuously in time. This is the key technique in the corotational FEM and the shape matching deformation popular in physics-based dynamic deformation. Recently, in contrast to the traditional polar decomposition methods independent of time, an iterative method was proposed that formulates the rotation extraction in a physics-based way and exploits an incremental representation of rotation. We develop an optimization method that reduces the number of iterations under the assumption that the maximum magnitude of the incremental rotation vector is limited within ${\pi}/2$. Realistic simulation of dynamic deformation employs a sufficiently small time step, and thus this assumption is not problematic in practice. We demonstrate the efficiency and practicality of our method in various experiments.

Numerical approach to elucidate the behavior of seismic lining adopting hyperelastic material model (수치해석을 이용한 초탄성 재료 기반 면진라이닝의 거동 규명)

  • Sung Kwon Ahn;Hee Up Lee;Jeongjun Park;Jiwon Lee
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.25 no.6
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    • pp.495-507
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    • 2023
  • Considering the continuing discussion about the Korea-Japan undersea tunnel, it is necessary to conduct a scientific investigation into tunnel deformation associated with large ground movements at fault. This paper presents findings obtained from numerical experiments to investigate a seismic lining that adopts rubber-like material. We utilized the user material subroutine to obtain the deformation gradient of the hyperelastic material. Additionally, polar decomposition is used to analyze the results, where the data is displayed on a series of two-dimensional planes using the principal direction, which facilitates a better insight into the deformation. Tunnel engineers could refer to this paper for the procedure to investigate the deformation of hyperelastic material.

Finite element analysis of welding process in consideration of transformation plasticity in welding (용접에서 발생하는 변태소성을 고려한 용접공정의 유한요소 해석)

  • 임세영
    • Proceedings of the KWS Conference
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    • 2003.05a
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    • pp.210-212
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    • 2003
  • Finite element analysis of welding processes, which entail phase evolution, heat transfer and deformation, is considered in this paper. Attention focuses on numerical implementation of the thermo-elastic-plastic constitutive equation proposed by Leblond et al in consideration of the transformation plasticity. Based upon the multiplicative decomposition of deformation gradient, hyperelastic formulation is employed for efficient numerical integration, and the algorithmic consistent moduli for elastic-plastic deformations including transformation plasticity are obtained in the closed form. The convergence behavior of the present implementation is demonstrated via a couple of numerical example.

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The Irrealistic Characteristics Represented in Modern Fashion Photographs - Based on Nelson Goodman's Ways of Worldmaking - (현대 패션사진에 나타난 비실재적 특성 - 넬슨 굿맨의 '세계제작 방식'을 근거로 -)

  • Park, Mi-Joo;Yang, Sook-Hi
    • The Research Journal of the Costume Culture
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    • v.19 no.4
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    • pp.836-850
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    • 2011
  • The modern fashion photograph is interpreted as diverse versions via individual perspectives and thus induces meaning as individuals compose diverse worlds. The researcher perceived the act of reading the significance of the modern fashion photograph from the aspect of the diverse worlds that the receivers comprise, and the researcher sought to highlight this with the ways of worldmaking, as in Nelson Goodman's concept of irrealism. This study sought the transitional structure of the significance of fashion photographs through the irrealism of Goodman and theoretically considered the way in which the worldmaking was organized. The study collected fashion photos shown in fashion magazines and fashion brand catalogs from 2005 to 2010 for a study of the precedent theories and a survey of photographic materials to select characteristics based on Goodman's Ways of Worldmaking. Goodman suggested the five ways of composition and decomposition, deformation, weighting, deletion and supplementation, and ordering as the ways of worldmaking. The composition and decomposition way leads to habit and perpetuation due to existing concepts or intimateness. It can also be considered that the composition and the decomposition way occur coincidentally with other ways due to the previous worlds in which users connote during the process through which the fashion photos were composed and decomposed, deformed, weighted, and ordered. Therefore, this study researched the four ways of composition and decomposition, deformation, weighting, and ordering by integrating them into fashion photos based on the five types of ways reviewed through a theoretical consideration.

DEFORMATION OF AUGUSTINE VOLCANO, ALASKA, 1992-2006, MEASURED BY ERS AND ENVISAT SAR INTERFEROMETRY

  • Lee, Chang-Wook;Lu, Zhong;Kwoun, Oh-Ig
    • Proceedings of the KSRS Conference
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    • v.2
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    • pp.582-585
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    • 2006
  • Augustine volcano is an active stratovolcano located southwest of Anchorage, Alaska. Augustine volcano experienced seven significantly explosive eruptions in 1812, 1883, 1908, 1935, 1963, 1976, and 1986, and a minor eruption in January 2006. To measure ground surface deformation of Augustine volcano, we applied satellite radar interferometry with ERS-1/2 and ENVISAT SAR images acquired from three descending and three ascending satellite tracks. Multiple interferograms are stacked to reduce artifacts due to changes in atmospheric condition and retrieve temporal deformation sequence. For this, we used Least Square (LS) method for reducing atmospheric effects and Singular Value Decomposition (SVD) method for the retrieval of a temporal deformation sequence. Interferograms before 2006 eruption show about 3 cm/year subsidence by contraction of pyroclastic flow deposits from the 1986 eruption. Interferograms during 2006 eruption do not show significant deformation around volcano crater. Interferograms after 2006 eruption show again a several cm subsidence by compaction and contraction of pyroclastic flow deposits for a few months. This study demonstrates that satellite radar interferometry can monitor deformation of Augustine volcano to help understand the magma plumbing system driving surface deformation.

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Improvement of Small Baseline Subset (SBAS) Algorithm for Measuring Time-series Surface Deformations from Differential SAR Interferograms (차분 간섭도로부터 지표변위의 시계열 관측을 위한 개선된 Small Baseline Subset (SBAS) 알고리즘)

  • Jung, Hyung-Sup;Lee, Chang-Wook;Park, Jung-Won;Kim, Ki-Dong;Won, Joong-Sun
    • Korean Journal of Remote Sensing
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    • v.24 no.2
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    • pp.165-177
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    • 2008
  • Small baseline subset (SBAS) algorithm has been recently developed using an appropriate combination of differential interferograms, which are characterized by a small baseline in order to minimize the spatial decorrelation. This algorithm uses the singular value decomposition (SVD) to measure the time-series surface deformation from the differential interferograms which are not temporally connected. And it mitigates the atmospheric effect in the time-series surface deformation by using spatially low-pass and temporally high-pass filter. Nevertheless, it is not easy to correct the phase unwrapping error of each interferogram and to mitigate the time-varying noise component of the surface deformation from this algorithm due to the assumption of the linear surface deformation in the beginning of the observation. In this paper, we present an improved SBAS technique to complement these problems. Our improved SBAS algorithm uses an iterative approach to minimize the phase unwrapping error of each differential interferogram. This algorithm also uses finite difference method to suppress the time-varying noise component of the surface deformation. We tested our improved SBAS algorithm and evaluated its performance using 26 images of ERS-1/2 data and 21 images of RADARSAT-1 fine beam (F5) data at each different locations. Maximum deformation amount of 40cm in the radar line of sight (LOS) was estimated from ERS-l/2 datasets during about 13 years, whereas 3 cm deformation was estimated from RADARSAT-1 ones during about two years.

Computational Efficiency of Thermo-Elasto-Viscoplastic Damage and Contact Analyses by Domain/Boundary Decomposition (영역/경계 분할에 의한 열탄점소성 손상 및 접촉 해석의 효율화)

  • Kim, Sung-Jun;Shin, Eui-Sup
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.2
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    • pp.153-161
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    • 2009
  • A domain/boundary decomposition method is applied for efficient analyses of thermo-elasto-viscoplastic damage and contact problems under the assumption of infinitesimal deformation. For the decomposition of a whole domain and contact boundaries, all the equality constraints on the interface and contact interfaces are restated with simple penalty functional. Therefore, the non-linearity of the problem is localized within finite element matrices in a few subdomains and on contact interfaces. By setting up suitable solution algorithms, the computational efficiency can be improved considerably. The general tendency of the computational efficiency is illustrated with some numerical experiments.

3-Dimensional Nonlinear Analysis of Low Velocity Impact On Composite Plates (복합재료 평판의 비선형 3차원 저속 충격 해석)

  • 김승조;지국현
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2000.04a
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    • pp.38-42
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    • 2000
  • In this study, the low velocity impact behavior of the composite laminates has been described by using 3 dimensional nonlinear finite elements. To describe the geometric nonlinearity due to large deformation, the dynamic contact problem is formulated using the exterior penalty finite element method on the base of Total Lagrangian formulation. The incremental decomposition is introduced, and the converged solution is attained by Newton-Raphson Method. The Newmark's constant-acceleration time integration algorithm is used. To make verification of the finite element program developed in this study, the solution of the nonlinear static problem with occurrence of large deformation is compared with ABAQUS, and the solution of the static contact problem with indentation is compared with the Hertz solution. And, the solution of low velocity impact problem for isotropic material is verificated by comparison with that of LS-DYNA3D. Finally the contact force of impact response from the nonlinear analysis are compared with those from the linear analysis.

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Zeroth-Order Shear Deformation Micro-Mechanical Model for Periodic Heterogeneous Beam-like Structures

  • Lee, Chang-Yong
    • Journal of Power System Engineering
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    • v.19 no.3
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    • pp.55-62
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    • 2015
  • This paper discusses a new model for investigating the micro-mechanical behavior of beam-like structures composed of various elastic moduli and complex geometries varying through the cross-sectional directions and also periodically-repeated along the axial directions. The original three-dimensional problem is first formulated in an unified and compact intrinsic form using the concept of decomposition of the rotation tensor. Taking advantage of two smallness of the cross-sectional dimension-to-length parameter and the micro-to-macro heterogeneity and performing homogenization along dimensional reduction simultaneously, the variational asymptotic method is used to rigorously construct an effective zeroth-order beam model, which is similar a generalized Timoshenko one (the first-order shear deformation model) capable of capturing the transverse shear deformations, but still carries out the zeroth-order approximation which can maximize simplicity and promote efficiency. Two examples available in literature are used to demonstrate the consistence and efficiency of this new model, especially for the structures, in which the effects of transverse shear deformations are significant.

Effect of Tempering Treatment on Mechanical Properties of Ausformed Martensite in Fe-30% Ni-0.35%C Alloy (Fe-30%Ni-0.35%C 합금에서 Ausformed Martensite의 기계적 성질에 미치는 Tempering처리의 영향)

  • Lee, E.K.;Lee, K.B.;Kim, H.S.
    • Journal of the Korean Society for Heat Treatment
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    • v.7 no.1
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    • pp.44-52
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    • 1994
  • In order to investigate the effect of tempring treatment on the mechanical properties of ausformed martensite in Fe-30%Ni-0.35%C alloy, the hardness, yield strength and elongation were examined by tensile test. 1. The strength of deformed austenite in Fe-30%Ni-0.35%C alloy was increased due to the work hardening induced from the dislocation density increased during deformation. The strength of ausformed martensite was increased because of defects inherited from deformed austenite by martensitic transformation. 2. The ductility of ausformed martensite was shown a nearly constant values independent of deformation degrees because of the interaction of multiple factors such as increased retained austenite, formation of void and decrement of twin in ausformed martensite. 3. The strength of ausformed martensite by tempering treatment was shown a little decrement up to $340^{\circ}C$, especially showed remarkable softening resistance in higher deformation degrees. 4. Virgin martensite and ausformed martensite were shown a maximum yield strength by clustering in tempering at $100^{\circ}C$ and above $100^{\circ}C$, yield strength was very small decreased due to the decrement of solute carbon by the destruction of clustering. 5. The decomposition of retained austenite was not shown up to $450^{\circ}C$ in ausformed martensite with tempering treatment, and the matrix was rapidly softening because of the decomposition of martensite and the formation of reversed austenite with tempering above $400^{\circ}C$.

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