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一个基于集群的增量潜力方法,用于减少骨的顺序均化

Xiaozhe Ju^1,2,3, Chunli Xu¹, Yangjian Xu²

¹Taizhou Hospital of Zhejiang Province, Linhai, China.

International journal for numerical methods in biomedical engineering

|October 8, 2024

概括

一种新的基于集群的模型顺序减少 (C-pRBMOR) 方法有效地使用通用标准材料模型使骨组织均化. 这种方法显著加快了骨微观结构分析的计算效率.

科学领域:

计算力学计算力学计算力学
生物材料科学生物材料科学
有限元分析有限元分析

背景情况:

准确的骨组织计算建模对于理解骨组织的机械行为至关重要.
现有的同质化技术可能是计算密集型,限制了它们的应用.
通用标准材料 (GSM) 模型提供了一个强大的框架来描述材料的行为,包括骨.

研究的目的:

开发一个计算效率高的模型顺序减少 (MOR) 方法用于骨均质化.
为了将适当的通用分解 (pGPD) 基于MOR (pRBMOR) 扩展到一个集群版本 (C-pRBMOR).
确保与各种GSM模型进行骨微观结构分析的兼容性.

主要方法:

开发基于集群的适当的基于一般化分解的模型顺序减少 (C-pRBMOR) 方法.
扩展pRBMOR方法,基于混合增量潜力配方,到一个集群版本.
离线阶段涉及对微观塑料应变场的空间分解和时空分解的聚类分析.
在线阶段使用集群增强版本的进化方程,用于从增量变量配方获得的减少变量.

主要成果:

通过C-pRBMOR方法,可以显著提高骨同质化的计算效率.
与传统的有限元素 (FE) 计算相比,证明的加速率超过10^4.
与原来的pRBMOR方法相比,实现了超过10^3的加速度.
对比研究评估了不同的集群方法和模式识别算法.

结论:

在C-pRBMOR方法提供了一个高度有效和计算效率高的骨质均质化策略.
这种方法可以解决一组减少的非线性方程,大大缩短计算时间.
这种技术与广泛的GSM模型兼容,提高了其在生物材料研究中的应用性.

关键词:

骨头骨头骨头骨头集群分析分析集群分析一般化的标准材料材料.多个尺度的方法.减少了顺序的同质化.

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