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Research Papers

Uniaxial Ratchetting of Filled Rubber: Experiments and Damage-Coupled Hyper-Viscoelastic-Plastic Constitutive Model

[+] Author and Article Information
Yifu Chen

State Key Laboratory of Traction Power,
Southwest Jiaotong University,
Chengdu 610031, Sichuan, China;
Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province,
School of Mechanics and Engineering,
Southwest Jiaotong University,
Chengdu 610031, Sichuan, China
e-mail: stillthere15@my.swjtu.edu.cn

Guozheng Kang

State Key Laboratory of Traction Power,
Southwest Jiaotong University,
Chengdu 610031, Sichuan, China;
Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province,
School of Mechanics and Engineering,
Southwest Jiaotong University,
Chengdu 610031, Sichuan, China
e-mails: guozhengkang@home.swjtu.edu.cn; guozhengkang@126.com

Jianghong Yuan

Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province,
School of Mechanics and Engineering,
Southwest Jiaotong University,
Chengdu 610031, Sichuan, China
e-mail: jianghong_yuan@swjtu.edu.cn

Chao Yu

State Key Laboratory of Traction Power,
Southwest Jiaotong University,
Chengdu 610031, Sichuan, China;
Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province,
School of Mechanics and Engineering,
Southwest Jiaotong University,
Chengdu 610031, Sichuan, China
e-mail: chaoyu@home.swjtu.edu.cn

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received March 2, 2018; final manuscript received March 26, 2018; published online April 12, 2018. Editor: Yonggang Huang.

J. Appl. Mech 85(6), 061013 (Apr 12, 2018) (9 pages) Paper No: JAM-18-1125; doi: 10.1115/1.4039814 History: Received March 02, 2018; Revised March 26, 2018

A series of stress-controlled uniaxial cyclic tension-unloading tests are discussed to investigate the ratchetting of a filled rubber at room temperature. It is shown that obvious ratchetting occurs and depends apparently on the applied stress level, stress rate, and stress history. Based on the experimental observations, a damage-coupled hyper-viscoelastic-plastic constitutive model is then developed to describe the ratchetting of the filled rubber, which consists of three branches in parallel, i.e., a hyperelastic, a viscoelastic, and a plastic one. The damage is assumed to act equally on three branches and consists of two parts, i.e., the Mullins-type damage caused by the initial tensile deformation and the accumulated damage occurred during the cyclic deformation. The developed model is validated by comparing the predicted results with the experimental data.

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Figures

Grahic Jump Location
Fig. 4

Ratchetting of HNBR obtained in the cyclic tests with the same mean stress of 1.5 MPa and stress amplitude of 1.0 MPa but at various stress rates of 0.1, 0.5, and 1.0 MPa/s: (a) curves of peak strains versus number of cycles and (b) curves of valley strains versus number of cycles

Grahic Jump Location
Fig. 3

Ratchetting of HNBR obtained in the cyclic tests with the same mean stress of 1.5 MPa but various stress amplitudes of 0.5, 1.0, and 1.5 MPa, at a stress rate of 0.3 MPa/s: (a) curves of peak strains versus number of cycles and (b) curves of valley strains versus number of cycles

Grahic Jump Location
Fig. 2

Ratchetting of HNBR obtained in the cyclic tests with the same stress amplitude of 1.0 MPa but various mean stresses of 1.0, 1.5, and 2.0 MPa, at a stress rate of 0.3 MPa/s: (a) curves of peak strains versus number of cycles and (b) curves of valley strains versus number of cycles

Grahic Jump Location
Fig. 1

Results of HNBR obtained in the cyclic test with a mean stress of 1.5 MPa and stress amplitude of 1.5 MPa, at a stress rate of 0.3 MPa/s: (a) experimental stress–strain curve, (b) simulated stress–strain curve, (c) curves of peak and valley strains versus number of cycles, (d) curves of apparent modulus versus number of cycles, and (e) strain–time curves for the recovery of residual strain at zero-stress point after cyclic deformation

Grahic Jump Location
Fig. 7

One-dimensional rheological representation of the constitutive model to be developed

Grahic Jump Location
Fig. 6

Ratchetting of HNBR obtained in the cyclic test with a stress amplitude history (1.5 ± 1.0 MPa → 1.5 ± 0.5 MPa →  1.5 ± 1.0 MPa) at a stress rate of 0.3 MPa/s: (a) experimental stress–strain curve, (b) simulated stress–strain curve, and (c) curves of peak and valley strains versus number of cycles

Grahic Jump Location
Fig. 5

Ratchetting of HNBR obtained in the cyclic test with a mean stress history (1.5 ± 1.0 MPa → 1.0 ± 1.0 MPa → 1.5 ± 1.0 MPa) at a stress rate of 0.3 MPa/s: (a) experimental stress–strain curve, (b) simulated stress–strain curve, and (c) curves of peak and valley strains versus number of cycles

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