Effects of Nonlinear Stress-Strain Rate Relation on Deformation and Fracture of Materials in Creep Range

1979 ◽  
Vol 101 (4) ◽  
pp. 369-373 ◽  
Author(s):  
Ryuichi Ohtani ◽  
Shuji Taira

Fundamental and practical investigations on high-temperature strength of materials have made significant contributions to industrial development for the last twenty-five years. However, an additional effort is required to make clear the effects of dominant factors on the deformation and fracture of materials, since the knowledge obtained to date are not enough to explain the overall phenomena of high temperature strength. In this paper the importance of the effects of nonlinearlity and time-dependence of stress-strain relation on the well-known creep behaviors are reviewed and reexamined on the basis of our laboratory study conducted over the last twenty years.

2016 ◽  
Vol 08 (06) ◽  
pp. 1650082 ◽  
Author(s):  
Liang Zhang ◽  
Huiting Zhang ◽  
Jian Wu ◽  
Bo Yan ◽  
Mengkai Lu

Bi-modulus materials have different moduli in tension and compression and the stress–strain relation depends on principal stress that is unknown before displacement is determined. Establishment of variational principle is important for mechanical analysis of materials. First, parametric variational principle (PVP) is proposed for static analysis of bi-modulus materials and structures. A parametric variable indicating state of principal stress is included in the potential energy formulation and the nonlinear stress–strain relation is evolved into a linear complementarity constraint. Convergence of finite element analysis is thus improved. Then the proposed variational principle is extended to a dynamic problem and the dynamic equation can be derived based on Hamilton’s principle. Finite element analysis of nacreous bio-composites is performed, in which a unilateral contact behavior between two hard mineral bricks is modeled using the bi-modulus stress–strain relation. Effective modulus of composites can be determined numerically and stress mechanism of “tension–shear chain” in nacre is revealed. A delayed effect on stress propagation is found around the “gaps” between mineral bricks, when a tension force is loaded to nacreous bio-composites dynamically.


2016 ◽  
Vol 51 (18) ◽  
pp. 2619-2629 ◽  
Author(s):  
Junbo Xie ◽  
Guodong Fang ◽  
Zhen Chen ◽  
Jun Liang

Tensile experiments of three-dimensional needled C/C-SiC composite from room temperature to 1800℃ were performed to investigate tensile behavior. The damage characteristics and macroscopic mechanical behavior of the composite are relevant to the testing temperature and off-axis angles of the tensile loading. The tensile strength increased while the modulus decreased with the increase of temperature. A high-temperature nonlinear constitutive model was established to analyze the nonlinear stress–strain relationship of the composite. Plastic strain accumulation and stiffness degeneration were described by the plasticity and damage theories. The effect of temperature on the tensile behavior of the composite was particularly considered in this model by introducing a thermal damage variable. The proposed constitutive model can predict the stress–strain behavior of the material subjected to different off-axis tensile load, and at different temperatures. Fairly good agreement was achieved between the predicted and experimental results.


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