Acoustic softening and residual hardening in aluminum: Modeling and experiments

Abstract It is known that high-frequency vibration affects metal plasticity during metal forming and bonding operations. Metal plasticity is significantly affected by the acoustic field leading to acoustic softening and acoustic residual hardening. In this study, a modeling framework for the acoustic plasticity was proposed based on the crystal plasticity theory. The acoustic softening and acoustic residual hardening effects were modeled based on the thermal activation theory and dislocation evolution theory, respectively. To validate the developed model, vibration-assisted upsetting tests were conducted using pure aluminum specimens. Results showed that the stress decrease due to the acoustic softening was proportional to the vibration amplitude. Moreover, the acoustic residual hardening effect was influenced by the vibration amplitude and duration. The unified acoustic plasticity model accurately captured the acoustic softening and hardening in aluminum. The predicted stress–strain response of the vibration-assisted upsetting agreed well with the experimental results. The findings confirmed the significant effects of high-frequency vibration on metal plasticity and provided a basis to understand the underlying mechanisms of vibration-assisted forming.

[1]  Xiaodong Wang,et al.  Study on Heating Process of Ultrasonic Welding for Thermoplastics , 2010 .

[2]  W. C. Liu,et al.  Effect of heating rate on the microstructure and texture of continuous cast AA 3105 aluminum alloy , 2008 .

[3]  Y. Ivashkin,et al.  Characteristics of plastic deformation under the action of ultrasound , 1982 .

[4]  J. Yoon,et al.  On the existence of indeterminate solutions to the equations of motion under non-associated flow , 2008 .

[5]  Baohua Chang,et al.  Influence of superimposed ultrasound on deformability of Cu , 2009 .

[6]  U. Messerschmidt Dislocation Dynamics During Plastic Deformation , 2010 .

[7]  K. H. Westmacott,et al.  Dislocation Structure in Ultrasonically Irradiated Aluminum , 1965 .

[8]  Q. Zou,et al.  Experimental Study of High-Frequency Vibration Assisted Micro/Mesoscale Forming of Metallic Materials , 2011 .

[9]  M. Brünig,et al.  Finite elastic–plastic deformation behaviour of crystalline solids based on a non-associated macroscopic flow rule 1Paper presented at the Sixth International Symposium on Plasticity and Its Current Applications, Juneau, Alaska (U.S.A.), July 14–18, 1997. 1 , 1998 .

[10]  Haowen Liu,et al.  Variable strain rate sensitivity in an aluminum alloy: Response and constitutive modeling , 2012 .

[11]  I. Neklyudov,et al.  Effect of ultrasonic vibrations on the parameters of the hardening curve for copper single crystals , 1972 .

[12]  B. Schinke,et al.  Dynamic tensile tests with superimposed ultrasonic oscillations for stainless steel type 321 at room temperature , 1987 .

[13]  J. Kaufman,et al.  Properties of Aluminum Alloys: Tensile, Creep, and Fatigue Data at High and Low Temperatures , 2000 .

[14]  Qingze Zou,et al.  Effects of superimposed high-frequency vibration on deformation of aluminum in micro/meso-scale upsetting , 2012 .

[15]  Brad L. Kinsey,et al.  Effect of current density and zinc content during electrical-assisted forming of copper alloys , 2010 .

[16]  R. Doherty Recrystallization and texture , 1997 .

[17]  M. Langseth,et al.  An evaluation of yield criteria and flow rules for aluminium alloys , 1999 .

[18]  Amir Siddiq,et al.  Acoustic softening in metals during ultrasonic assisted deformation via CP-FEM , 2011 .

[19]  S. Matsuoka Ultrasonic welding of ceramics/metals using inserts , 1998 .

[20]  K. Siu,et al.  Understanding acoustoplasticity through dislocation dynamics simulations , 2011 .

[21]  D. Scholl,et al.  Thermo-mechanical analysis of frictional heating in ultrasonic spot welding of aluminium plates , 2011 .

[22]  K. Chawla,et al.  Mechanical Behavior of Materials , 1998 .

[23]  Isotropic polycrystal yield surfaces of b.c.c. and f.c.c. metals: crystallographic and continuum mechanics approaches , 1991 .

[24]  Baohua Chang,et al.  Effects of superimposed ultrasound on deformation of gold , 2009 .

[25]  Q. Zou,et al.  Experimental study of high-frequency vibration assisted micro/meso-scale forming of metallic materials , 2011 .

[26]  K. Krausz,et al.  Unified constitutive laws of plastic deformation , 1996 .

[27]  Margaret Lucas,et al.  Superimposed ultrasonic oscillations in compression tests of aluminium. , 2006, Ultrasonics.

[28]  Han-Chin Wu,et al.  Anisotropic plasticity for sheet metals using the concept of combined isotropic-kinematic hardening , 2002 .

[29]  Amir Siddiq,et al.  A thermomechanical crystal plasticity constitutive model for ultrasonic consolidation , 2012 .

[30]  G. A. Malygin Acoustoplastic effect and the stress superimposition mechanism , 2000 .

[31]  B. Langenecker Effects of Ultrasound on Deformation Characteristics of Metals , 1966, IEEE Transactions on Sonics and Ultrasonics.

[32]  H. Conrad Electroplasticity in metals and ceramics , 2000 .

[33]  Jeong Whan Yoon,et al.  Review of Drucker¿s postulate and the issue of plastic stability in metal forming , 2006 .

[34]  Brian Gallagher,et al.  Peak oil analyzed with a logistic function and idealized Hubbert curve , 2011 .

[35]  Muhammad Amir Siddiq,et al.  Ultrasonic-assisted manufacturing processes: variational model and numerical simulations. , 2012, Ultrasonics.

[36]  Jeong Whan Yoon,et al.  Anisotropic hardening and non-associated flow in proportional loading of sheet metals , 2009 .

[37]  U. F. Kocks Constitutive Behavior Based on Crystal Plasticity , 1987 .

[38]  T. Wierzbicki,et al.  A new model of metal plasticity and fracture with pressure and Lode dependence , 2008 .

[39]  A. Rusinko Analytical description of ultrasonic hardening and softening. , 2011, Ultrasonics.

[40]  S. Kalidindi Modeling the strain hardening response of low SFE FCC alloys , 1998 .

[41]  A. Tsoularis,et al.  Analysis of logistic growth models. , 2002, Mathematical biosciences.

[42]  Jiromaru Tsujino,et al.  Ultrasonic plastic welding using fundamental and higher resonance frequencies. , 2002, Ultrasonics.

[43]  S. Zinkle,et al.  On the relationship between uniaxial yield strength and resolved shear stress in polycrystalline materials , 2000 .

[44]  M. Brünig Numerical analysis and large strain elastic–viscoplastic behavior of hydrostatic stress-sensitive metals , 2001 .

[45]  J. Shepherd,et al.  An open-ended logistic-based growth function: Analytical solutions and the power-law logistic model , 2007 .

[46]  F. Barlat,et al.  A simple model for dislocation behavior, strain and strain rate hardening evolution in deforming aluminum alloys , 2002 .

[47]  B. Poorganji,et al.  Effect of cold work and non-isothermal annealing on the recrystallization behavior and texture evolution of a precipitation-hardenable aluminum alloy , 2010 .

[48]  D. H. Sansome,et al.  Review of the application of ultrasonic vibrations to deforming metals , 1975 .

[49]  W. C. Liu,et al.  Evolution of recrystallization and recrystallization texture in continuous-cast AA 3015 aluminum alloy , 2005 .

[50]  Margaret Lucas,et al.  Modelling the effects of superimposed ultrasonic vibrations on tension and compression tests of aluminium , 2007 .

[51]  Željan Lozina,et al.  A finite element formulation based on non-associated plasticity for sheet metal forming , 2008 .

[52]  M. Brünig Numerical simulation of the large elastic–plastic deformation behavior of hydrostatic stress-sensitive solids , 1999 .

[53]  A. Pierce Basic Linear Acoustics , 2014 .

[54]  Jeong Whan Yoon,et al.  A pressure-sensitive yield criterion under a non-associated flow rule for sheet metal forming , 2004 .

[55]  C. Bunget,et al.  Influence of ultrasonic vibration on micro-extrusion. , 2011, Ultrasonics.

[56]  I. Jones,et al.  New insight on acoustoplasticity – Ultrasonic irradiation enhances subgrain formation during deformation , 2011 .

[57]  A. Peslo Ultrasonic hardening of aluminium alloys , 1984 .

[58]  M. Ashby,et al.  Deformation-Mechanism Maps: The Plasticity and Creep of Metals and Ceramics , 1982 .

[59]  D. Lloyd,et al.  Effect of thermomechanical treatment on the evolution of rolling and recrystallization textures in twin-belt cast AA5754 aluminum alloy , 2004 .

[60]  Chung-Ming Kuo,et al.  Plastic deformation mechanism of pure aluminum at low homologous temperatures , 2005 .

[61]  M. E. Kassner Taylor hardening in five-power-law creep of metals and Class M alloys , 2004 .

[62]  Chung-Ming Kuo,et al.  Plastic deformation mechanism of pure copper at low homologous temperatures , 2005 .

[63]  Thomas B. Stoughton,et al.  A non-associated flow rule for sheet metal forming , 2002 .