Multi-Layer Thick Shells
Multi-Layer Thick Shells
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DOI：
10.1145/3588432.3591489
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发表时间：
2023-07
期刊：
影响因子：
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通讯作者：
Yunuo Chen;Tianyi Xie;Cem Yuksel;D. Kaufman;Yin Yang;Chenfanfu Jiang;Minchen Li
中科院分区：
文献类型：
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作者：
Yunuo Chen;Tianyi Xie;Cem Yuksel;D. Kaufman;Yin Yang;Chenfanfu Jiang;Minchen Li
我们提出了一种基于网格的新方法，用于模拟（可能是多层的）连续体厚壳的复杂动力学。为了在厚度方向上准确地表示结构响应的本构行为，我们开发了一种双积分棱柱有限元公式，该公式不存在剪切锁定问题，并且自然地包含了三维弹塑性和粘弹性本构模型。此外，我们引入了一种简单有效的技术，用于在厚壳顶部耦合一个高分辨率的膜层，以实现产生逼真褶皱的互补高频变形模式。通过我们为高频变形新设计的稀疏基向量，受约束的拉格朗日力学问题被表示为一个无约束优化问题，然后通过一种定制的交替最小化技术有效地求解。我们的方法为皮革服装、枕头、垫子、金属板以及可能的各种其他厚结构的快速、高质量且考虑厚度的模拟开辟了新的可能性。
We present a novel mesh-based method for simulating the intricate dynamics of (potentially multi-layered) continuum thick shells. In order to accurately represent the constitutive behavior of structural responses in the thickness direction, we develop a dual-quadrature prism finite element formulation that is free from shear locking and naturally incorporates three-dimensional elastoplastic and viscoelastic constitutive models. Additionally, we introduce a simple and effective technique for coupling a high-resolution membrane layer on top of the thick shell to enable complementary high-frequency deformation modes that generate realistic wrinkles. With our novelly designed sparse basis vectors for the high-frequency deformations, the constrained Lagrangian mechanics problem is expressed as an unconstrained optimization and then efficiently solved by a custom alternating minimization technique. Our method opens up a new possibility for fast, high-quality, and thickness-aware simulations of leather garments, pillows, mats, metal boards, and potentially a variety of other thick structures.