An integral representation of fields with applications to finite element analysis of spatially varying materials

被引：6

作者：

Kumar, Goldy ^{[1
]}

Taber, Andrew ^{[1
]}

机构：

[1] Intact Solut Inc, 211 South Paterson St,Suite 350, Madison, WI 53703 USA

来源：

COMPUTER-AIDED DESIGN | 2020年 / 126卷

关键词：

Interoperability; Moment-fitting; Functionally graded material; Heterogeneous material; Composite material; Additive manufacturing; NUMERICAL-INTEGRATION; OPTIMAL QUADRATURE; SPLINE SPACES; MOMENT; BEHAVIOR; DOMAINS; SCHEME; RULES; MODEL;

D O I：

10.1016/j.cad.2020.102869

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We propose a representation framework for fields that leverages integral properties to incorporate diverse field models into a single analysis pipeline. This integral representation can be used to embody a variety of spatial data, including vector- and tensor-valued fields, and can be used to generate effective values which match the integral properties of the original field. We apply this representation to the problem of material field modeling, which is otherwise intractable due to the heterogeneous and spatially-varying nature of these fields. We demonstrate the advantages of integral representations by analyzing functionally graded material fields, material properties derived from an additive manufacturing process, and experimental material data. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：17