连续软化直至失效:各向同性不可压缩软固体的超弹性建模方法

IF 1.9 4区 工程技术 Q3 MECHANICS
Afshin Anssari-Benam
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引用次数: 1

摘要

本文试图提出一种替代的概念来模拟不可压缩各向同性橡胶类材料的有限变形中的连续软化,直到失效的开始。基于“材料的(超)弹性状态的基本本构参数不能决定该材料的软化和破坏的自然演变没有根本原因”这一命题,提出了具有内在软化的超弹性概念。与目前可用的连续损伤力学和能量限制理论(将外部参数叠加到基本超弹性模型上)相反,本文提出的替代方法假设,如果超弹性应变能函数包含一组全面的本构参数并具有适当的函数形式,则它将本质上捕捉到在软固体应力变形曲线中观察到的连续软化。直到失败的开始。这一概念的例子是使用作者先前提出的一个特定的超弹性模型,在这里应用于各种各样的各向同性不可压缩软固体的现有数据集,从软组织到蛋白质凝胶和3D打印生物材料,包括软化行为。通过这种方法得到了良好的建模结果。这些结果预示着一种通用的建模工具,可应用于软固体的全范围变形,直至失效的开始,并为设计一个统一的理论来模拟橡胶类材料有限变形中的连续和不连续软化提供了理由。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Continuous softening up to the onset of failure: A hyperelastic modelling approach with intrinsic softening for isotropic incompressible soft solids

This paper seeks to put forward an alternative notion for modelling the continuous softening in the finite deformation of incompressible isotropic rubber-like materials, up to the onset of failure. Based on the proposition that ‘there is no fundamental reason as to why the basic constitutive parameters of the (hyper)elastic state of a material cannot determine the natural evolution of softening and failure in that material’, the concept of hyperelasticity with intrinsic softening is posited. In contrast to the currently available theories of continuum damage mechanics and energy limiters, which superpose external parameters onto the basic hyperelastic model, the alternative approach presented here postulates that if a hyperelastic strain energy function accommodates a comprehensive set of constitutive parameters and has an appropriate functional form, it will intrinsically capture the observed continuous softening in the stress–deformation curves of soft solids, up to the onset of failure. Examples of this notion are presented using a specific hyperelastic model previously proposed by the author, applied here to extant datasets of a wide variety of isotropic incompressible soft solids, ranging from soft tissues to protein gels and 3D printed biomaterials, that include the softening behaviour. The favourable modelling results obtained via this approach are demonstrated. It is conferred that these results portend a versatile modelling tool for application to the whole-range deformation of soft solids, up to the onset of failure, and make the case for devising a unified theory for modelling both continuous and discontinuous softening in the finite deformation of rubber-like materials.

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来源期刊
CiteScore
4.10
自引率
4.20%
发文量
114
审稿时长
9 months
期刊介绍: Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide: • a fast means of communication • an exchange of ideas among workers in mechanics • an effective method of bringing new results quickly to the public • an informal vehicle for the discussion • of ideas that may still be in the formative stages The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.
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