## B4CAST

### Purpose

**B4Cast **is an advanced software package for simulating temperature evolution and the development of properties in concrete structures during early-ages. It is one of the components of a complete **thermal control system** that also includes **HeatBox** and ** HeatWatch **or **TMS**. The software allows modeling different construction methods for a given structure in order to arrive at optimal solutions for limiting the maximum internal early-age temperature, reducing the risk of early-age cracking due to thermal effects, or ensuring adequate strength at critical stages of construction, such as formwork removal or post-tensioning. **B4Cast** is based on heat transfer in 3-dimensions, which permits accurate simulation of heat transfer in a structural element of any shape.

It is important to control the early-age hardening process of concrete. Inappropriate construction methods can cause:

- Freezing before the concrete is strong enough to resist expansion stresses
- Rapid evaporation leading to a weak cover layer
- High temperature gradients leading to cracking
- Reduction in long-term strength due to high early-age temperatures
- Delayed ettringite formation (DEF) and cracking due to high concrete temperature
- Inadequate strength at formwork removal, prestressing, or loading

In all cases, the concrete structure may be damaged permanently and the durability, functionality, and appearance will be substantially reduced. On the other hand, it is also important to avoid using costly preventive measures that may unnecessary. By running simulations of alternative schemes before the start-up of a project, engineers can arrive at economical solutions for reducing the risk of early-age damage.

The **B4Cast** computer program is useful for:

- Contractors, in planning construction methods to meet specification requirements and economic limitations.
- Consultants, during the design phase to permit checking the feasibility of planned construction activities.
- Precast concrete producers, for optimizing production schedules.

* Model of construction scheme in which the thick upper part of the wall is cooled by water circulating through the previously cast foundation *

Because **B4CAST** is based on the finite-element method and modeling is in 3D, a wide range of problems can be solved. Extensive knowledge of the finite-element method is not required. The computer-program is menu-driven and simple to use. The information needed to run an analysis includes description of the construction method, thermal boundary conditions, and properties of the concrete that will be used. A mouse click starts the calculations, and various graphical outputs are available to check if the results are reasonable.

### Construction Method

Volumes corresponding to different placements are defined geometrically. Time of placement and the placement temperature are defined. Volumes are prismatic with arbitrary polygonal cross sections.

### Materials

The following properties define the hardening concrete:

- Heat of hydration versus maturity (from
**HeatBox**) - Thermal conductivity
- Density
- Cement content
- Activation energy
- Tensile strength vs. maturity
- Compressive strength vs. maturity
- E-modulus vs. maturity
- Poisson’s ratio vs. maturity
- Coefficient of thermal expansion
- Autogenous shrinkage
- Creep function

Material properties can be imported from and exported to libraries. Thus the same material can be used in different analyses. The software includes ready-to-use default material properties.

### Thermal Boundaries

The following conditions can be assigned to surfaces:

- Temperature related to convection
- Wind-speed
- Thermal barriers: user defined formwork, insulation, etc.
- Heat flux, from solar heating or use of radiant heaters
- Imposed surface temperature history
- Transmission coefficient related to radiation

All boundary conditions are functions of time. Thermal barriers can be imported from and exported to libraries, which allows the same materials to be used in different projects. The software includes several ready-to-use thermal barriers.

* Example of ***B4Cast*** input screen to describe formwork and curing procedures *

### Cooling Pipes

Internal heating or cooling can be modeled by specifying heating cables and cooling pipes. Three types of cooling pipe systems can be defined as illustrated in the following schematic:

**Open circuit:** Water enters at inlet temperature and passes through newly placed concrete

** Closed circuit:** Water passes through new and old concrete; heat of hydration in new concrete is transferred to old concrete

** Closed circuit with cooling plant:** Water passing through old concrete (not required) is cooled to target temperature

In the third system (with plant), the pipes can be made into heating pipes by proper definition of the target temperature when the water exits the plant.

### Displacement Boundaries and External Loads

The structure can be provided with displacement boundary conditions to model external restraints. Displacement boundary conditions are also used to specify planes of symmetry for reducing analysis run time. If insufficient displacement boundary conditions are supplied by the user, the software automatically provides boundary conditions so that the structure is statically determinate.

The analyses (thermal and stress) in **B4Cast** are performed by means of the finite-element method. The structure is meshed automatically into tetrahedrons. The variation of temperature and stress within elements is assumed to be parabolic. A coarse mesh can be used for the initial analyses to check that model has been described correctly. The thermal analysis is performed first, and, if required the stress analysis is performed subsequently. Based on initial results, a finer mesh may be required to produce smoother temperature or stress distributions within the structure.

### Results

The results from a **B4Cast** analysis can be presented for the following parameters:

- Temperatures
- Maturities
- Tensile and compressive strengths development
- Stresses, principal stresses, and tensile stress-strength ratio

Variations of desired parameters at a specific time in the analysis are presented as contour plots at user-defined cross sections. Cross sections with extreme values of the parameters are located automatically. Conversely, variations of given parameters as a function of time are presented as graphs of minimum and maximum values, average values, or values at user-defined locations.

An example is presented of a wall built between an existing foundation and an existing end -wall. The formwork is 21 mm plywood; the upper surface is protected by tarpaulins; open- circuit cooling pipes are used up to a time of 48 h and the inlet water temperature water is 10 °C. The initial concrete temperature and ambient temperature are 20 °C; and the wind speed is 5 m/s. The contour plot below shows the temperature distribution at the wall cross section, indicated with blue lines in the sketch of the structure, at 22 h after casting the wall.

The graph below shows the time histories of the inlet water temperature (green) and outlet water temperature (red).

The blue line in the graph to the right shows the variation of the average wall temperature with time. The green curve is the variation with time of the point in the cross section that experienced the maximum temperature. The red curve is the temperature variation at the point in the structure that had the lowest temperature. The discontinuity at 48 h represents the effects of shutting off flow through the cooling pipes.