Modeling and dynamics simulation for deformable objects of orthotropic materials

Cai, Jianping; Lin, Feng; Lee, Yong Tsui; Kemao, Qian; Seah, Hock Soon

doi:10.1007/s00371-016-1221-4

Cited by 13 publications

(17 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(b) Local frame setting. (c) Deformation of the orthotropic method at frames 80, 160, and 240 for reference. (d) Deformation of our nonorthotropic method at the same frames, respectively…”

Section: Experiments and Discussionmentioning

confidence: 99%

“…First, we mark the joints of the mesh model, that is, the points at the partition junctions and, then, approximate the y-axis direction of each partition, that is, the skeleton, by connecting the marker points at both ends of the partition. At the same time, we select three points at each joint to establish an approximate segmentation plane and, finally, divide the model into of the orthotropic method 13 at frames 120 and 240. (e) and (f) Deformation of our nonorthotropic method at the same frames, respectively different regions according to the marked skeleton.…”

Section: Experiments and Discussionmentioning

confidence: 99%

“…Owing to its high efficiency and easy implementation, the model has been commonly employed and improved subsequently. 12,13,[18][19][20][21] Besides, there are also some nonlinear constitutive models that can solve the rotationally invariant problem. One is the Saint Venant-Kirchhoff (StVK) model, [22][23][24] which is perhaps the simplest constitutive model for large deformations.…”

Section: Related Workmentioning

confidence: 99%

“…Objects with complex structure always present different orientations within local frames. In order to simulate the local orthogonality, Cai et al 13 augmented the CLFEM with the frame field. The internal force is then computed as…”

Section: Frame Field Augmented Modelmentioning

confidence: 99%

“…Objects with complex structure always present different orientations within local frames. In order to simulate the local orthogonality, Cai et al augmented the CLFEM with the frame field. The internal force is then computed as

f_{int}^{e} = R^{e} Q^{e} K^{e} Q^{e T} (R^{e T} x^{e} - X^{e}),

where

{boldQ}^{e} = diag false({boldQ}^{'}, {boldQ}^{'}, {boldQ}^{'}, {boldQ}^{'} false) \in {double-struckR}^{12 \times 12}

, and

{boldQ}^{'} \in {double-struckR}^{3 \times 3}

is the rotation matrix assigning a local frame to each tetrahedra element.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

An improved solution for deformation simulation of nonorthotropic geometric models

Cao

Yang

Ren

et al. 2019

Computer Animation & Virtual

View full text Add to dashboard Cite

Physically based deformation simulation has been studied for many years in computer graphics. In order to simulate more complex geometric models and better meet the designer's requirements, many anisotropic approaches have been proposed in recent years. However, most of the approaches focus on simulating orthotropic models. In comparison with orthotropic models, nonorthotropic ones allow the objects to have anisotropic behaviors along nonorthogonal directions. In this paper, we introduce an improved approach to simulate nonorthotropic geometric models under large deformation. The improvements are mainly twofold. First, a frame field is specified on a given undeformed object, that is, each point of the object is equipped with a frame. In each local frame, we construct three independent vectors and form a nonorthogonal coordinate. Second, we design the deformation properties along each axis in the local nonorthogonal coordinate to get a local constitutive model. The final nonorthotropic model is generated by transforming the designed model from local nonorthogonal coordinates to the global standard Cartesian coordinate. To improve the stability, we introduce a time‐varying method to simultaneously track the local coordinates reorientation by pushing forward the original frame field to the deformed frame field. Experiments show that the deformation simulation using the designed nonorthotropic models exhibits anisotropic behaviors along different directions and are more stable than previous methods.

show abstract

“…(b) Local frame setting. (c) Deformation of the orthotropic method at frames 80, 160, and 240 for reference. (d) Deformation of our nonorthotropic method at the same frames, respectively…”

Section: Experiments and Discussionmentioning

confidence: 99%

Section: Experiments and Discussionmentioning

confidence: 99%