The Experts below are selected from a list of 264 Experts worldwide ranked by ideXlab platform

Tetsuya Ishikawa - One of the best experts on this subject based on the ideXlab platform.

  • Determination of the dynamic deformation tensor by time‐resolved triple‐crystal diffractometry
    Journal of Synchrotron Radiation, 2005
    Co-Authors: Yujiro Hayashi, Noboru Tsukuda, Eiichi Kuramoto, Yoshihito Tanaka, Tetsuya Ishikawa
    Abstract:

    : Triple-crystal X-ray diffractometry has been combined with time-resolved measurement techniques. A simple time-resolved technique was employed by using a digital storage oscilloscope and a fast X-ray detector. The time dependence of the deformation tensor was determined for a gallium arsenide wafer after a flash of a 130 fs laser pulse. The laser pulse produced instantaneous expansion resulting in a localized convex surface. Time-resolved measurements showed that a flexural standing wave, explained well by the Classical Elasticity Theory for thin plates, appeared in the relaxation process.

  • Determination of the dynamic deformation tensor by time-resolved triple-crystal diffractometry.
    Journal of synchrotron radiation, 2005
    Co-Authors: Yujiro Hayashi, Noboru Tsukuda, Eiichi Kuramoto, Yoshihito Tanaka, Tetsuya Ishikawa
    Abstract:

    Triple-crystal X-ray diffractometry has been combined with time-resolved measurement techniques. A simple time-resolved technique was employed by using a digital storage oscilloscope and a fast X-ray detector. The time dependence of the deformation tensor was determined for a gallium arsenide wafer after a flash of a 130 fs laser pulse. The laser pulse produced instantaneous expansion resulting in a localized convex surface. Time-resolved measurements showed that a flexural standing wave, explained well by the Classical Elasticity Theory for thin plates, appeared in the relaxation process.

Demosthenes Polyzos - One of the best experts on this subject based on the ideXlab platform.

  • Plane strain gradient elastic rectangle in bending
    Archive of Applied Mechanics, 2020
    Co-Authors: Antonios Charalambopoulos, Stephanos V. Tsinopoulos, Demosthenes Polyzos
    Abstract:

    The present paper can be considered as an extension of the work (Charalambopoulos and Polyzos in Arch Appl Mech 85:1421–1438, 2015). The simplest possible elastostatic version of Mindlin’s strain gradient elastic (SGE) Theory is employed for the solution of a SGE rectangle in bending under plane strain conditions. The equilibrium equations as well as expressions for all types of stresses and boundary conditions appearing in the considered rectangle are explicitly provided. An improved version of Mindlin’s solution procedure via potentials is proposed. Besides, an elegant solution representation that contains the solution of the corresponding Classical elastic problem is demonstrated. Results of six plane strain bending problems, which reveal a significant diversification from the Classical Elasticity Theory and specific features of the underlying microstructure, are addressed and discussed.

  • Plane strain gradient elastic rectangle in tension
    Archive of Applied Mechanics, 2015
    Co-Authors: Antonios Charalambopoulos, Demosthenes Polyzos
    Abstract:

    In the present work, the simplest version of Mindlin’s Theory is employed for the analytical solution of a strain gradient elastic rectangle subjected to plane strain tensional conditions. The employed plane strain Theory is explained, and the Classical and non-Classical boundary conditions valid for a 2D structure with corners are described. Expressions for all types of stresses and boundary conditions in a Cartesian co-ordinate system are explicitly provided. A simple solution procedure for the aforementioned strain gradient elastic boundary value problem is proposed. Results that reveal a significant diversification from the Classical Elasticity Theory and assign these modifications appropriately to the specific features of the underlying microstructure are provided and discussed.

W. Strasser - One of the best experts on this subject based on the ideXlab platform.

  • Deriving a particle system from continuum mechanics for the animation of deformable objects
    IEEE Transactions on Visualization and Computer Graphics, 2003
    Co-Authors: O. Etzmuss, J. Gross, W. Strasser
    Abstract:

    Mass-spring and particle systems have been widely employed in computer graphics to model deformable objects because they allow fast numerical solutions. In this work, we establish a link between these discrete models and Classical mathematical Elasticity. It turns out that discrete systems can be derived from a continuum model by a finite difference formulation and approximate Classical continuum models unless the deformations are large. In this work, we present the derivation of a particle system from a continuum model, compare it to the models of Classical Elasticity Theory, and assess its accuracy. In this way, we gain insight into the way discrete systems work and we are able to specify the correct scaling when the discretization is changed. Physical material parameters that describe materials in continuum mechanics are also used in the derived particle system.

Yarema Savula - One of the best experts on this subject based on the ideXlab platform.

  • Mathematical modeling and numerical analysis of elastic body with thin inclusion
    Computational Mechanics, 2012
    Co-Authors: Lyudmyla Vynnytska, Yarema Savula
    Abstract:

    This article studies elastic multi-component structure consisting of matrix body with thin inclusion. Mathematical model dwells on membrane shell Theory for thin inclusion, while Classical Elasticity Theory is used for matrix medium under the assumption of perfect bonding on the media interface. We prove the existence and uniqueness of the weak problem solution. In order to implement finite element scheme, a coupled model is developed. Simulations are performed for the plane coupled problem. Eventually we compare the solutions obtained with the Classical approach results and estimate a posteriori errors for different meshes to assess the model. Bridging Theory with practice, the model’s applicability to engineering problems is demonstrated finally.

Yujiro Hayashi - One of the best experts on this subject based on the ideXlab platform.

  • Determination of the dynamic deformation tensor by time‐resolved triple‐crystal diffractometry
    Journal of Synchrotron Radiation, 2005
    Co-Authors: Yujiro Hayashi, Noboru Tsukuda, Eiichi Kuramoto, Yoshihito Tanaka, Tetsuya Ishikawa
    Abstract:

    : Triple-crystal X-ray diffractometry has been combined with time-resolved measurement techniques. A simple time-resolved technique was employed by using a digital storage oscilloscope and a fast X-ray detector. The time dependence of the deformation tensor was determined for a gallium arsenide wafer after a flash of a 130 fs laser pulse. The laser pulse produced instantaneous expansion resulting in a localized convex surface. Time-resolved measurements showed that a flexural standing wave, explained well by the Classical Elasticity Theory for thin plates, appeared in the relaxation process.

  • Determination of the dynamic deformation tensor by time-resolved triple-crystal diffractometry.
    Journal of synchrotron radiation, 2005
    Co-Authors: Yujiro Hayashi, Noboru Tsukuda, Eiichi Kuramoto, Yoshihito Tanaka, Tetsuya Ishikawa
    Abstract:

    Triple-crystal X-ray diffractometry has been combined with time-resolved measurement techniques. A simple time-resolved technique was employed by using a digital storage oscilloscope and a fast X-ray detector. The time dependence of the deformation tensor was determined for a gallium arsenide wafer after a flash of a 130 fs laser pulse. The laser pulse produced instantaneous expansion resulting in a localized convex surface. Time-resolved measurements showed that a flexural standing wave, explained well by the Classical Elasticity Theory for thin plates, appeared in the relaxation process.