Buckling of regular, chiral and hierarchical honeycombs under a general macroscopic stress state

被引：94

作者：

Haghpanah, Babak ^{[1
]}

Papadopoulos, Jim ^{[1
]}

Mousanezhad, Davood ^{[1
]}

Nayeb-Hashemi, Hamid ^{[1
]}

Vaziri, Ashkan ^{[1
]}

机构：

[1] Northeastern Univ, Dept Mech & Ind Engn, Boston, MA 02115 USA

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2014年 / 470卷 / 2167期

基金：

新加坡国家研究基金会; 美国国家科学基金会;

关键词：

instability; cellular structure; beam-column; in-plane loading; INPLANE BIAXIAL COMPRESSION; PERIODIC METAL HONEYCOMBS; ELASTIC SQUARE HONEYCOMBS; OPEN CELL FOAMS; FAILURE SURFACES; POLYCARBONATE HONEYCOMBS; HOMOGENIZATION THEORY; MULTIAXIAL LOADS; PART II; BEHAVIOR;

D O I：

10.1098/rspa.2013.0856

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

An approach to obtain analytical closed-form expressions for the macroscopic 'buckling strength' of various two-dimensional cellular structures is presented. The method is based on classical beam-column end-moment behaviour expressed in a matrix form. It is applied to sample honeycombs with square, triangular and hexagonal unit cells to determine their buckling strength under a general macroscopic in-plane stress state. The results were verified using finite-element Eigenvalue analysis.

引用

页数：23

共 59 条

[1] AN INVESTIGATION OF LOCALIZATION IN A POROUS ELASTIC-MATERIAL USING HOMOGENIZATION THEORY [J].

ABEYARATNE, R ;

TRIANTAFYLLIDIS, N .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1984, 51 (03) :481-486

[2] Dynamic crushing and energy absorption of regular, irregular and functionally graded cellular structures [J].

Ajdari, Amin ;

Nayeb-Hashemi, Hamid ;

Vaziri, Ashkan .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2011, 48 (3-4) :506-516

[3] Mechanically triggered transformations of phononic band gaps in periodic elastomeric structures [J].

Bertoldi, K. ;

Boyce, M. C. .

PHYSICAL REVIEW B, 2008, 77 (05)

[4] Mechanics of deformation-triggered pattern transformations and superelastic behavior in periodic elastomeric structures [J].

Bertoldi, K. ;

Boyce, M. C. ;

Deschanel, S. ;

Prange, S. M. ;

Mullin, T. .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2008, 56 (08) :2642-2668

[5] Wave propagation and instabilities in monolithic and periodically structured elastomeric materials undergoing large deformations [J].

Bertoldi, K. ;

Boyce, M. C. .

PHYSICAL REVIEW B, 2008, 78 (18)

[6] Negative Poisson's Ratio Behavior Induced by an Elastic Instability [J].

Bertoldi, Katia ;

Reis, Pedro M. ;

Willshaw, Stephen ;

Mullin, Tom .

ADVANCED MATERIALS, 2010, 22 (03) :361-+

[7] Compressive response of circular cell polycarbonate honeycombs under inplane biaxial static and dynamic loading. Part I: experiments [J].

Chung, J ;

Waas, AM .

INTERNATIONAL JOURNAL OF IMPACT ENGINEERING, 2002, 27 (07) :729-754

[8] In-plane biaxial crush response of polycarbonate honeycombs [J].

Chung, J ;

Waas, AM .

JOURNAL OF ENGINEERING MECHANICS-ASCE, 2001, 127 (02) :180-193

[9] Long-wave in-plane buckling of elastoplastic square honeycombs [J].

Erami, K. ;

Ohno, N. ;

Okumura, D. .

INTERNATIONAL JOURNAL OF PLASTICITY, 2006, 22 (09) :1569-1585

[10] Uniaxial local buckling strength of periodic lattice composites [J].

Fan, Hualin ;

Jin, Fengnian ;

Fang, Daining .

MATERIALS & DESIGN, 2009, 30 (10) :4136-4145

← 1 2 3 4 5 6 →