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A three-invariant smooth cap model with mixed hardening

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TLDR
A cap model is presented that uses a multiplicative formulation to define a smooth (continuous derivative) failure surface that includes the third stress invariant, providing a framework for easily implementing additional model features such as kinematic hardening as demonstrated.
Abstract
A cap model is presented that uses a multiplicative formulation to define a smooth (continuous derivative) failure surface that includes the third stress invariant. This formulation offers several advantages over previous cap model formulations: elimination of ‘corner’ coding, resulting in a numerical algorithm suitable for vectorization; a three stress invariant implementation that is easily specialized to classical failure surfaces or generalized to represent observed material response; and a framework for easily implementing additional model features such as kinematic hardening as demonstrated.

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Citations
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Evaluation of LS-DYNA Concrete Material Model 159

TL;DR: In this paper, an elastoplastic damage model with rate effects was developed for concrete and implemented into LS-DYNA, a commercially available finite element code, including the selection of the concrete model input parameters.
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Penetration into low-strength (23MPa) concrete: target characterization and simulations

TL;DR: In this article, a combined experimental, analytical, and computational research and development program investigates the penetration of steel projectiles into low-strength concrete using a geomaterial constitutive model.
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Calibration of the continuous surface cap model for concrete

TL;DR: In this paper, an effective calibration method to determine the material parameters for this model as functions of uniaxial compression strength and the maximum aggregate size of concrete according to formulas from CEB-FIP code and concrete test data from other published literatures is presented.
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Response of 1/4-Scale Concrete Masonry Unit (CMU) Walls to Blast

TL;DR: In this paper, a series of experiments were conducted at the U.S. Army Engineer Research and Development Center to determine the response of a one-way 14-scale concrete masonry unit (CMU) wall to the detonation of an explosive charge.
References
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Journal ArticleDOI

A hierarchical approach for constitutive modelling of geologic materials

TL;DR: In this paper, a hierarchical concept is proposed for the development of constitutive models to account for various factors that influence behaviour of (geologic) materials, such as nonassociativeness and induced anisotropy due to friction and cyclic loading, and softening are introduced as corrections or perturbations to the basic model.
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An algorithm and a modular subroutine for the CAP model

TL;DR: A cap model algorithm and the associated FORTRAN subroutine, CAP, are presented that lends itself to a wide range of soil and rock cap models, and can easily be incorporated into most dynamic codes.
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A general basis for yield, failure and potential functions in plasticity

TL;DR: In this paper, a new concept based on the use of a function expressed as a (complete) polynomial expansion in terms of the three invariants of the stress tensor is proposed for deriving yield, failure and plastic potential functions for use in plasticity based constitutive laws.
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Assessment of cap model: consistent return algorithms and rate-dependent extension

TL;DR: The standard version of the inviscid two-invariant cap model is considered and a viscoplastic rate-dependent generalization is proposed and a new algorithm is proposed based on the notion of closest-point project to fit the model to experimental data systematically.
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On Prager's hardening rule

TL;DR: The Pragersche Verfestigungs Regel as mentioned in this paper is verwendent in den wichtigsten Spannungsraumen von weniger als neun Dimensionen.