そこで本研究では、FFD の格子を自動生成し、オリジ ナルの FFD の柔軟性を保ちつつ、ユーザによる 3 次元 モデルの変形を支援する手法を提案する。我々の手法 は、まずモデルのバウンディングボックスを生成し、 それを初期格子とする。その初期格子から階層的に新 たな格子を生成することで、多重解像度格子という格 子集合を作り出し、ユーザがその中から目的に沿った 適切な格子、すなわち大域的な変形のための少数の制 御点を持つ格子や、局所的な変形のための変形対象領 域の形状をよく近似する格子を選択できるようにする。 さらに、変形前の格子だけでなく、ユーザによって変 形された格子から新たな格子の生成を行うことで、階 層的変形を行うことができる。階層的変形を用いるこ とで、格子をバウンディングボックスから再定義する ことなく、大域的な変形から局所的な変形、またはそ の逆といったようにモデルを階...

In this work, we show that the eigenvalues of the problem  (∆2 + V (x) + λ)u(x) = 0 x ∈ Ω u(x) = ∆u(x) = 0 x ∈ ∂Ω are generically simple in the set of C4 regular regions of Rn, n ≥ 2. In fact, we prove that there exists a residual set of regions C4 diffeomorphic to a given Ω such that all the eigenvalues for a supported plate equation are simple.

deformation length is one of the most important parameters in cold roll-forming process, which plays a fundamental role in determining the inter-distance between the stations and rate of deformation. deformation length was first introduced by bhattacharyya. he also obtained a closed-form relation for this length in roll-forming of symmetric channel section. in this paper, deformation length in ...

With the increasing complexity of photo-realistic scenes, the question of building and placing objects in three-dimensional scenes is becoming ever more di cult. While the question of placement of rigid objects has captured the attention of researchers in the past, this work presents an intuitive and interactive scheme to properly place deformable objects with the aid of free-form deformation t...

contact mechanics is related to the deformation study of solids that meet each other at one or more points. the physical and mathematical formulation of the problem is established upon the mechanics of materials and continuum mechanics and focuses on computations involving bodies with different characteristics in static or dynamic contact. contact mechanics gives essential information for the s...

The new class of wrought γ-γ/ Co-base superalloys, which are based on Co-Al-W system,  was developed by conventional hot working routes with a high volume fraction of γ/ precipitates and good mechanical properties. The aim of the present study was to predict the flow stress and hot deformation modeling of a novel γ-γ/ Co-base superalloy. The hot compression test...

Peridynamic models that aim to incorporate a given classical local continuum stress-deformation response function typically start with a nonlocal averaged analog to the deformation gradient as input to the given local stress-deformation response function. This approach has been observed to allow unphysical deformations such as interpenetration and cause loss of linear stability. This paper desc...

We propose a one-dimensional, nonconvex elastic constitutive model with higher gradients that can predict spontaneous fracture at critical load via bifurcation analysis. It overcomes the problem of discontinuous deformations without additional field variables, such as damage or phase-field and priori specified surface energy. Our main tool is inverse deformation, which be extended to piecewise ...